218
Views
283
CrossRef citations to date
0
Altmetric
Theory and Method

Approximate Bayesian Inference in Conditionally Independent Hierarchical Models (Parametric Empirical Bayes Models)

&
Pages 717-726 | Received 01 Dec 1986, Published online: 12 Mar 2012

Keep up to date with the latest research on this topic with citation updates for this article.

Read on this site (44)

Blair Bilodeau, Alex Stringer & Yanbo Tang. (2024) Stochastic Convergence Rates and Applications of Adaptive Quadrature in Bayesian Inference. Journal of the American Statistical Association 119:545, pages 690-700.
Read now
Hyungsuk Tak, Kisung You, Sujit K. Ghosh, Bingyue Su & Joseph Kelly. (2020) Data transforming augmentation for heteroscedastic models. Journal of Computational and Graphical Statistics 29:3, pages 659-667.
Read now
Daniel McNeish. (2019) Two-Level Dynamic Structural Equation Models with Small Samples. Structural Equation Modeling: A Multidisciplinary Journal 26:6, pages 948-966.
Read now
Gerd K. Rosenkranz. (2018) Empirical Bayes estimators in hierarchical models with mixture priors. Journal of Applied Statistics 45:16, pages 2958-2980.
Read now
Simon N. Wood, Natalya Pya & Benjamin Säfken. (2016) Smoothing Parameter and Model Selection for General Smooth Models. Journal of the American Statistical Association 111:516, pages 1548-1563.
Read now
N. K. Schuurman, R. P. P. P. Grasman & E. L. Hamaker. (2016) A Comparison of Inverse-Wishart Prior Specifications for Covariance Matrices in Multilevel Autoregressive Models. Multivariate Behavioral Research 51:2-3, pages 185-206.
Read now
Karl Friston, Francesco Rigoli, Dimitri Ognibene, Christoph Mathys, Thomas Fitzgerald & Giovanni Pezzulo. (2015) Active inference and epistemic value. Cognitive Neuroscience 6:4, pages 187-214.
Read now
William T. Barry, Charles M. Perou, P. Kelly Marcom, Lisa A. Carey & Joseph G. Ibrahim. (2015) The Use of Bayesian Hierarchical Models for Adaptive Randomization in Biomarker-Driven Phase II Studies. Journal of Biopharmaceutical Statistics 25:1, pages 66-88.
Read now
Aritra Sengupta & Noel Cressie. (2013) Empirical Hierarchical Modelling for Count Data using the Spatial Random Effects Model. Spatial Economic Analysis 8:3, pages 389-418.
Read now
Rich Levine. (2013) Editorial. Journal of Computational and Graphical Statistics 22:3, pages 515-517.
Read now
Patrizio Frederic & Frank Lad. (2008) Two Moments of the Logitnormal Distribution. Communications in Statistics - Simulation and Computation 37:7, pages 1263-1269.
Read now
Massimiliano Giorgio, Maurizio Guida & Gianpaolo Pulcini. (2006) Reliability-Growth Analysis of Locomotive Electrical Equipment. Journal of Quality Technology 38:1, pages 14-30.
Read now
JamesP. Hobert. (2000) Hierarchical Models: A Current Computational Perspective. Journal of the American Statistical Association 95:452, pages 1312-1316.
Read now
JonD. Cohen & Tao Jiang. (1999) Comparison of Partially Measured Latent Traits across Nominal Subgroups. Journal of the American Statistical Association 94:448, pages 1035-1044.
Read now
HarryF. Martz, RobertL. Parker & DaleM. Rasmuson. (1999) Estimation of Trends in the Scram Rate at Nuclear Power Plants. Technometrics 41:4, pages 352-364.
Read now
MichaelJ. Daniels & Constantine Gatsonis. (1999) Hierarchical Generalized Linear Models in the Analysis of Variations in Health Care Utilization. Journal of the American Statistical Association 94:445, pages 29-42.
Read now
Jacqueline Cohen, Daniel Nagin, Garrick Wallstrom & Larry Wasserman. (1998) Hierarchical Bayesian Analysis of Arrest Rates. Journal of the American Statistical Association 93:444, pages 1260-1270.
Read now
Balgobin Nandram. (1998) A bayesian analysis of the three-stage hierarchical multinomial model. Journal of Statistical Computation and Simulation 61:1-2, pages 97-126.
Read now
JamesP. Hobert & George Casella. (1998) Functional Compatibility, Markov Chains, and Gibbs Sampling with Improper Posteriors. Journal of Computational and Graphical Statistics 7:1, pages 42-60.
Read now
JamesG. Booth & JamesP. Hobert. (1998) Standard Errors of Prediction in Generalized Linear Mixed Models. Journal of the American Statistical Association 93:441, pages 262-272.
Read now
Jim Albert & Siddhartha Chib. (1997) Bayesian Tests and Model Diagnostics in Conditionally Independent Hierarchical Models. Journal of the American Statistical Association 92:439, pages 916-925.
Read now
ThomasJ. Diciccio, RobertE. Kass, Adrian Raftery & Larry Wasserman. (1997) Computing Bayes Factors by Combining Simulation and Asymptotic Approximations. Journal of the American Statistical Association 92:439, pages 903-915.
Read now
CindyL. Christiansen & CarlN. Morris. (1997) Hierarchical Poisson Regression Modeling. Journal of the American Statistical Association 92:438, pages 618-632.
Read now
JamesP. Hobert & George Casella. (1996) The Effect of Improper Priors on Gibbs Sampling in Hierarchical Linear Mixed Models. Journal of the American Statistical Association 91:436, pages 1461-1473.
Read now
Li Sun, JohnS. J. Hsu, Irwin Guttman & Tom Leonard. (1996) Bayesian Methods for Variance Component Models. Journal of the American Statistical Association 91:434, pages 743-752.
Read now
FranciscoJ. Samaniego & AndrewA. Neath. (1996) How to be a Better Bayesian. Journal of the American Statistical Association 91:434, pages 733-742.
Read now
EdwardI. George. (1996) Comment. Journal of the American Statistical Association 91:434, pages 553-555.
Read now
AlanE. Gelfand. (1996) Comment. Journal of the American Statistical Association 91:434, pages 551-552.
Read now
HarryF. Martz, PaulH. Kvam & LeeR. Abramson. (1996) Empirical Bayes Estimation of the Reliability of Nuclear-Power-Plant Emergency Diesel Generators. Technometrics 38:1, pages 11-24.
Read now
Jim Albert. (1996) A MCMC algorithm to fit a general exchangeable model. Communications in Statistics - Simulation and Computation 25:3, pages 573-592.
Read now
RobertE. Kass & AdrianE. Raftery. (1995) Bayes Factors. Journal of the American Statistical Association 90:430, pages 773-795.
Read now
Zhaohai Li & ColinB. Begg. (1994) Random Effects Models for Combining Results from Controlled and Uncontrolled Studies in a Meta-Analysis. Journal of the American Statistical Association 89:428, pages 1523-1527.
Read now
Wang-Shu Lu & Carl N. Morris. (1994) Estimation in the generalized linear empirical bayes model using the extended quasi-likelihood. Communications in Statistics - Theory and Methods 23:3, pages 661-687.
Read now
Neal Thomas. (1993) Asymptotic Corrections for Multivariate Posterior Moments with Factored Likelihood Functions. Journal of Computational and Graphical Statistics 2:3, pages 309-322.
Read now
H.F. Martz & W.J. Zimmer. (1992) The Risk of Catastrophic Failure of the Solid Rocket Boosters on the Space Shuttle. The American Statistician 46:1, pages 42-47.
Read now
Duane Steffey. (1992) Hierarchical bayesian modeling with elicited prior information. Communications in Statistics - Theory and Methods 21:3, pages 799-821.
Read now
Alan E. Gelfand & Adrian F.M. Smith. (1991) Gibbs sampling for marginal posterior expectations. Communications in Statistics - Theory and Methods 20:5-6, pages 1747-1766.
Read now
T.W.F. Stroud. (1991) Hierarchical baxes predictive means and variances with application to sample survey inference. Communications in Statistics - Theory and Methods 20:1, pages 13-36.
Read now
WilliamB. Fairley, AlanJ. Izenman & Partha Bagchi. (1990) Inference for Welfare Quality Control Programs. Journal of the American Statistical Association 85:411, pages 874-890.
Read now
Angela B. Mariotto. (1990) Sensitivity of bayes and empirical bayes estimates. Communications in Statistics - Theory and Methods 19:12, pages 4471-4484.
Read now
Julia Mortera & Aristide San Martini. (1990) Comparison of proportions with asymmetric prior information. Communications in Statistics - Theory and Methods 19:9, pages 3205-3222.
Read now

Articles from other publishers (239)

Weining Li, Meilin Zhang, Heng Du, Jianliang Wu, Lei Zhou & Jianfeng Liu. (2024) Multi-Trait Bayesian Models Enhance the Accuracy of Genomic Prediction in Multi-Breed Reference Populations. Agriculture 14:4, pages 626.
Crossref
Nan Zheng, Atefeh Kheirollahi & Yildiz Yilmaz. (2024) Addressing age measurement errors in fish growth estimation from length-stratified samples. Biometrics 80:2.
Crossref
Glen McGee & Alex Stringer. (2023) Marginal additive models for population‐averaged inference in longitudinal and cluster‐correlated data. Scandinavian Journal of Statistics 51:1, pages 384-401.
Crossref
Johan Medrano, Karl Friston & Peter Zeidman. (2024) Linking fast and slow: The case for generative models. Network Neuroscience, pages 1-20.
Crossref
Xiaofan Lin, Siliang Zhang, Yincai Tang & Xuan Li. (2023) A Gibbs‐INLA algorithm for multidimensional graded response model analysis. British Journal of Mathematical and Statistical Psychology 77:1, pages 169-195.
Crossref
Andrew W. Corcoran, Jakob Hohwy & Karl J. Friston. (2023) Accelerating scientific progress through Bayesian adversarial collaboration. Neuron 111:22, pages 3505-3516.
Crossref
K.P. Chowdhury. (2023) Nonparametric functional analysis under joint estimation with applications to identifying highly cited papers. Journal of Informetrics 17:4, pages 101446.
Crossref
James T. Thorson & Wouter van der Bijl. (2023) phylosem: A fast and simple R package for phylogenetic inference and trait imputation using phylogenetic structural equation models. Journal of Evolutionary Biology 36:10, pages 1357-1364.
Crossref
A Grüss, A R Charsley, J T Thorson, O F Anderson, R L O'Driscoll, B Wood, O N Breivik & C A O’Leary. (2023) Integrating survey and observer data improves the predictions of New Zealand spatio-temporal models. ICES Journal of Marine Science 80:7, pages 1991-2007.
Crossref
Robert E. Kass, Heejong Bong, Motolani Olarinre, Qi Xin & Konrad N. Urban. (2023) Identification of interacting neural populations: methods and statistical considerations. Journal of Neurophysiology 130:3, pages 475-496.
Crossref
Jiwen Chen, Bihua Cao & Fuhong Li. (2023) Do after “not to do”: Deinhibition in cognitive control. Memory & Cognition 51:6, pages 1388-1403.
Crossref
BK Wells, JA Santora, JJ Bizzarro, A Billings, RD Brodeur, EA Daly, JC Field, KE Richerson & JT Thorson. (2023) Trophoscapes of predatory fish reveal biogeographic structuring of spatial dietary overlap and inform fisheries bycatch patterns. Marine Ecology Progress Series SPF2.
Crossref
Maxime Olmos, James Ianelli, Lorenzo Ciannelli, Ingrid Spies, Carey R. McGilliard & James T. Thorson. (2023) Estimating climate-driven phenology shifts and survey availability using fishery-dependent data. Progress in Oceanography 215, pages 103035.
Crossref
Arnaud Grüss, Jeremy R. McKenzie, Martin Lindegren, Richard Bian, Simon D. Hoyle & Jennifer A. Devine. (2023) Supporting a stock assessment with spatio-temporal models fitted to fisheries-dependent data. Fisheries Research 262, pages 106649.
Crossref
Arnaud Grüss, Bradley R. Moore, Matthew H. Pinkerton & Jennifer A. Devine. (2023) Understanding the spatio-temporal abundance patterns of the major bycatch species groups in the Ross Sea region Antarctic toothfish (Dissostichus mawsoni) fishery. Fisheries Research 262, pages 106647.
Crossref
Anthony R. Charsley, Arnaud Grüss, James T. Thorson, Merrill B. Rudd, Shannan K. Crow, Bruno David, Erica K. Williams & Simon D. Hoyle. (2023) Catchment-scale stream network spatio-temporal models, applied to the freshwater stages of a diadromous fish species, longfin eel (Anguilla dieffenbachii). Fisheries Research 259, pages 106583.
Crossref
Nan Zheng & Noel Cadigan. (2022) Frequentist Conditional Variance for Nonlinear Mixed-Effects Models. Journal of Statistical Theory and Practice 17:1.
Crossref
Sosthene Alban Valeryn Akia, Monin Justin Amandè & Daniel Gaertner. (2023) Towards “glocalised” management of tuna stocks based on causation between a stock and its component belonging temporally to local Exclusive Economic Zones. Aquatic Living Resources 36, pages 23.
Crossref
Maxwell J. D. Ramstead, Anil K. Seth, Casper Hesp, Lars Sandved-Smith, Jonas Mago, Michael Lifshitz, Giuseppe Pagnoni, Ryan Smith, Guillaume Dumas, Antoine Lutz, Karl Friston & Axel Constant. (2022) From Generative Models to Generative Passages: A Computational Approach to (Neuro) Phenomenology. Review of Philosophy and Psychology 13:4, pages 829-857.
Crossref
Katarzyna Rostek, Michał Wiśniewski & Witold Skomra. (2022) Analysis and Evaluation of Business Continuity Measures Employed in Critical Infrastructure during the COVID-19 Pandemic. Sustainability 14:22, pages 15388.
Crossref
Mario Martinez-Saito. (2022) Discrete scaling and criticality in a chain of adaptive excitable integrators. Chaos, Solitons & Fractals 163, pages 112574.
Crossref
Timothée Bacri, Geir D. Berentsen, Jan Bulla & Sondre Hølleland. (2022) A gentle tutorial on accelerated parameter and confidence interval estimation for hidden Markov models using Template Model Builder. Biometrical Journal 64:7, pages 1260-1288.
Crossref
Adenike O. Soogun, Ayesha B. M. Kharsany, Temesgen Zewotir, Delia North, Ebenezer Ogunsakin & Perry Rakgoale. (2022) Spatiotemporal Variation and Predictors of Unsuppressed Viral Load among HIV-Positive Men and Women in Rural and Peri-Urban KwaZulu-Natal, South Africa. Tropical Medicine and Infectious Disease 7:9, pages 232.
Crossref
Takhun Kim, Dongyeon Kim & Yongkil Ahn. (2022) Instant customer base analysis in the financial services sector. Expert Systems with Applications 202, pages 117326.
Crossref
Zhen Lin, Toshihide Kitakado, Naoki Suzuki & Shin-ichi Ito. (2022) Evaluation of the effects of stock enhancement on population dynamics using a state-space production model: A case study of Japanese flounder in the Seto Inland Sea. Fisheries Research 251, pages 106299.
Crossref
Devin S. Johnson, Brian M. Brost & Mevin B. Hooten. (2022) Greater Than the Sum of its Parts: Computationally Flexible Bayesian Hierarchical Modeling. Journal of Agricultural, Biological and Environmental Statistics 27:2, pages 382-400.
Crossref
Jiwen Chen, Shujie Wu & Fuhong Li. (2022) Cognitive Neural Mechanism of Backward Inhibition and Deinhibition: A Review. Frontiers in Behavioral Neuroscience 16.
Crossref
Beren Millidge, Alexander Tschantz & Christopher L. Buckley. (2022) Predictive Coding Approximates Backprop Along Arbitrary Computation Graphs. Neural Computation 34:6, pages 1329-1368.
Crossref
Mariana Lobo & Sharon‐Lise Normand. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online 1 7 .
Nicholas D. Ducharme-Barth, Arnaud Grüss, Matthew T. Vincent, Hidetada Kiyofuji, Yoshinori Aoki, Graham Pilling, John Hampton & James T. Thorson. (2022) Impacts of fisheries-dependent spatial sampling patterns on catch-per-unit-effort standardization: A simulation study and fishery application. Fisheries Research 246, pages 106169.
Crossref
Mira H. Kajanus, Jukka T. Forsman, Maximilian G. R. Vollstädt, Vincent Devictor, Merja Elo, Aleksi Lehikoinen, Mikko Mönkkönen, James T. Thorson & Sami M. Kivelä. (2022) Titmice are a better indicator of bird density in Northern European than in Western European forests. Ecology and Evolution 12:2.
Crossref
Esra Kürüm, Danh V. Nguyen, Yihao Li, Connie M. Rhee, Kamyar Kalantar‐Zadeh & Damla Şentürk. (2021) Multilevel joint modeling of hospitalization and survival in patients on dialysis. Stat 10:1.
Crossref
Scott Koermer & Aaron Noble. (2021) The utility of Bayesian data reconciliation for separations. Minerals Engineering 169, pages 106837.
Crossref
Nan Zheng & Noel Cadigan. (2021) Frequentist delta-variance approximations with mixed-effects models and TMB. Computational Statistics & Data Analysis 160, pages 107227.
Crossref
MIKIHIKO KAI, YOHEI TSUKAHARA & MIDORI HASHIMOTO. (2021) Overview of the spatio-temporal model, R package VAST, and its application to highly migratory species時空間統計モデルおよびRのパッケージVASTの概要と国際水産資源への適用事例. NIPPON SUISAN GAKKAISHI 87:4, pages 334-347.
Crossref
Stefan Frässle, Eduardo A. Aponte, Saskia Bollmann, Kay H. Brodersen, Cao T. Do, Olivia K. Harrison, Samuel J. Harrison, Jakob Heinzle, Sandra Iglesias, Lars Kasper, Ekaterina I. Lomakina, Christoph Mathys, Matthias Müller-Schrader, Inês Pereira, Frederike H. Petzschner, Sudhir Raman, Dario Schöbi, Birte Toussaint, Lilian A. Weber, Yu Yao & Klaas E. Stephan. (2021) TAPAS: An Open-Source Software Package for Translational Neuromodeling and Computational Psychiatry. Frontiers in Psychiatry 12.
Crossref
Kaiqiong Zhao, Karim Oualkacha, Lajmi Lakhal‐Chaieb, Aurélie Labbe, Kathleen Klein, Antonio Ciampi, Marie Hudson, Inés Colmegna, Tomi Pastinen, Tieyuan Zhang, Denise Daley & Celia M.T. Greenwood. (2020) A novel statistical method for modeling covariate effects in bisulfite sequencing derived measures of DNA methylation. Biometrics 77:2, pages 424-438.
Crossref
Thomas Parr, Anjali Bhat, Peter Zeidman, Aimee Goel, Alexander J. Billig, Rosalyn Moran & Karl J. Friston. (2021) Dynamic causal modelling of immune heterogeneity. Scientific Reports 11:1.
Crossref
Claudia Marzi, Alberto Greco, Enzo Pasquale Scilingo & Nicola Vanello. (2021) Towards a model of arousal change after affective word pronunciation based on electrodermal activity and speech analysis. Biomedical Signal Processing and Control 67, pages 102517.
Crossref
James T. Thorson, Mayumi L. Arimitsu, Lewis A. K. Barnett, Wei Cheng, Lisa B. Eisner, Alan C. Haynie, Albert J. Hermann, Kirstin Holsman, David G. Kimmel, Michael W. Lomas, Jon Richar & Elizabeth C. Siddon. (2021) Forecasting community reassembly using climate‐linked spatio‐temporal ecosystem models. Ecography 44:4, pages 612-625.
Crossref
Jhen Hsu, Yi-Jay Chang, Toshihide Kitakado, Mikihiko Kai, Bai Li, Midori Hashimoto, Chih-hao Hsieh, Vladimir Kulik & Kyum Joon Park. (2021) Evaluating the spatiotemporal dynamics of Pacific saury in the Northwestern Pacific Ocean by using a geostatistical modelling approach. Fisheries Research 235, pages 105821.
Crossref
Lia H. M. Morita, Vera L. D. Tomazella, Pedro L. Ramos, Paulo H. Ferreira & Francisco Louzada. (2021) The random deterioration rate model with measurement error based on the inverse Gaussian distribution. Brazilian Journal of Probability and Statistics 35:1.
Crossref
Qingpeng Han, Arnaud Grüss, Xiujuan Shan, Xianshi Jin & James T. Thorson. (2020) Understanding patterns of distribution shifts and range expansion/contraction for small yellow croaker ( Larimichthys polyactis ) in the Yellow Sea . Fisheries Oceanography 30:1, pages 69-84.
Crossref
Dao Nguyen, Perry de Valpine, Yves Atchade, Daniel Turek, Nicholas Michaud & Christopher Paciorek. (2020) Nested Adaptation of MCMC Algorithms. Bayesian Analysis 15:4.
Crossref
Nan Chen & J Jack Lee. (2020) Bayesian cluster hierarchical model for subgroup borrowing in the design and analysis of basket trials with binary endpoints. Statistical Methods in Medical Research 29:9, pages 2717-2732.
Crossref
Yihao Li, Danh V. Nguyen, Esra Kürüm, Connie M. Rhee, Yanjun Chen, Kamyar Kalantar‐Zadeh & Damla Şentürk. (2020) A multilevel mixed effects varying coefficient model with multilevel predictors and random effects for modeling hospitalization risk in patients on dialysis. Biometrics 76:3, pages 924-938.
Crossref
James T Thorson, Charles F Adams, Elizabeth N Brooks, Lisa B Eisner, David G Kimmel, Christopher M Legault, Lauren A Rogers & Ellen M Yasumiishi. (2020) Seasonal and interannual variation in spatio-temporal models for index standardization and phenology studies. ICES Journal of Marine Science 77:5, pages 1879-1892.
Crossref
Lee Youngjo & Gwangsu Kim. (2019) Properties of h‐Likelihood Estimators in Clustered Data. International Statistical Review 88:2, pages 380-395.
Crossref
Petrus H. Zwart & Elliott D. Perryman. (2020) Evaluating crystallographic likelihood functions using numerical quadratures. Acta Crystallographica Section D Structural Biology 76:8, pages 736-750.
Crossref
Arnaud Grüss, James T. Thorson, Gemma Carroll, Elizabeth L. Ng, Kirstin K. Holsman, Kerim Aydin, Stan Kotwicki, Hem N. Morzaria‐Luna, Cameron H. Ainsworth & Kevin A. Thompson. (2020) Spatio‐temporal analyses of marine predator diets from data‐rich and data‐limited systems. Fish and Fisheries 21:4, pages 718-739.
Crossref
Marianna Nagy, Csaba Aranyi, Gábor Opposits, Tamás Papp, Levente Lánczi, Ervin Berényi, Csilla Vér, László Csiba, Péter Katona, Tamás Spisák & Miklós Emri. (2020) Effective connectivity differences in motor network during passive movement of paretic and non-paretic ankles in subacute stroke patients. PeerJ 8, pages e8942.
Crossref
Filiz ÇAKIR. (2020) ÖRNEK ORTALAMA VE ORANLARININ DENEYSEL BAYES ANALİZİ. Öneri Dergisi.
Crossref
Danilo Bzdok, Dorothea L. Floris & Andre F. Marquand. (2020) Analysing brain networks in population neuroscience: a case for the Bayesian philosophy. Philosophical Transactions of the Royal Society B: Biological Sciences 375:1796, pages 20190661.
Crossref
Charles Bouveyron, Pierre Latouche & Pierre‐Alexandre Mattei. (2019) Exact dimensionality selection for Bayesian PCA. Scandinavian Journal of Statistics 47:1, pages 196-211.
Crossref
James T. Thorson. (2019) Predicting recruitment density dependence and intrinsic growth rate for all fishes worldwide using a data‐integrated life‐history model. Fish and Fisheries 21:2, pages 237-251.
Crossref
BE Chasco, JT Thorson, SS Heppell, L Avens, J Braun McNeill, AB Bolten, KA Bjorndal & EJ Ward. (2020) Integrated mixed-effect growth models for species with incomplete ageing histories: a case study for the loggerhead sea turtle Caretta caretta. Marine Ecology Progress Series 636, pages 221-234.
Crossref
A Grüss, J Gao, JT Thorson, CN Rooper, G Thompson, JL Boldt & R Lauth. (2020) Estimating synchronous changes in condition and density in eastern Bering Sea fishes. Marine Ecology Progress Series 635, pages 169-185.
Crossref
Siliang Zhang, Yunxiao Chen & Yang Liu. (2018) An improved stochastic EM algorithm for large‐scale full‐information item factor analysis . British Journal of Mathematical and Statistical Psychology 73:1, pages 44-71.
Crossref
Karl J. Friston, Thomas Parr, Peter Zeidman, Adeel Razi, Guillaume Flandin, Jean Daunizeau, Ollie J. Hulme, Alexander J. Billig, Vladimir Litvak, Rosalyn J. Moran, Cathy J. Price & Christian Lambert. (2020) Dynamic causal modelling of COVID-19. Wellcome Open Research 5, pages 89.
Crossref
Karl J. Friston, Thomas Parr, Peter Zeidman, Adeel Razi, Guillaume Flandin, Jean Daunizeau, Ollie J. Hulme, Alexander J. Billig, Vladimir Litvak, Rosalyn J. Moran, Cathy J. Price & Christian Lambert. (2020) Dynamic causal modelling of COVID-19. Wellcome Open Research 5, pages 89.
Crossref
Stephanie J. Brodie, James T. Thorson, Gemma Carroll, Elliott L. Hazen, Steven Bograd, Melissa A. Haltuch, Kirstin K. Holsman, Stan Kotwicki, Jameal F. Samhouri, Ellen Willis‐Norton & Rebecca L. Selden. (2019) Trade‐offs in covariate selection for species distribution models: a methodological comparison. Ecography 43:1, pages 11-24.
Crossref
Samuel P. L. Veissière, Axel Constant, Maxwell J. D. Ramstead, Karl J. Friston & Laurence J. Kirmayer. (2020) TTOM in action: Refining the variational approach to cognition and culture. Behavioral and Brain Sciences 43.
Crossref
Dong-San Kim, Jin Hee Park & Ho-Gon Lim. (2020) Technical note: Estimation of Korean industry-average initiating event frequencies for use in probabilistic safety assessment. Nuclear Engineering and Technology 52:1, pages 211-221.
Crossref
Arnaud Grüss & James T Thorson. (2019) Developing spatio-temporal models using multiple data types for evaluating population trends and habitat usage. ICES Journal of Marine Science 76:6, pages 1748-1761.
Crossref
James T. Thorson, Grant Adams & Kirstin Holsman. (2019) Spatio‐temporal models of intermediate complexity for ecosystem assessments: A new tool for spatial fisheries management. Fish and Fisheries 20:6, pages 1083-1099.
Crossref
Karl J. Friston, Jörn Diedrichsen, Emma Holmes & Peter Zeidman. (2019) Variational representational similarity analysis. NeuroImage 201, pages 115986.
Crossref
James T. Thorson. (2019) Measuring the impact of oceanographic indices on species distribution shifts: The spatially varying effect of cold‐pool extent in the eastern Bering Sea. Limnology and Oceanography 64:6, pages 2632-2645.
Crossref
Gerd Rosenkranz. 2019. Exploratory Subgroup Analyses in Clinical Research. Exploratory Subgroup Analyses in Clinical Research 197 215 .
Nan Chen & J. Jack Lee. (2018) Bayesian hierarchical classification and information sharing for clinical trials with subgroups and binary outcomes. Biometrical Journal 61:5, pages 1219-1231.
Crossref
Rodrigo Citton P. dos Reis, Enrico A. Colosimo & Gustavo L. Gilardoni. (2019) Hierarchical modelling of power law processes for the analysis of repairable systems with different truncation times: An empirical Bayes approach. Brazilian Journal of Probability and Statistics 33:2.
Crossref
James T. Thorson. (2019) Guidance for decisions using the Vector Autoregressive Spatio-Temporal (VAST) package in stock, ecosystem, habitat and climate assessments. Fisheries Research 210, pages 143-161.
Crossref
Daniel Flores-Agreda & Eva Cantoni. (2019) Bootstrap estimation of uncertainty in prediction for generalized linear mixed models. Computational Statistics & Data Analysis 130, pages 1-17.
Crossref
Akihiro Hirakawa, Junichi Asano, Hiroyuki Sato, Hiroya Hashimoto & Satoshi Teramukai. (2019) Bayesian Basket Designs for Cancer Clinical Trialsがん臨床試験におけるベイズ流バスケットデザインの理論と実装. Japanese Journal of Biometrics 39:2, pages 103-122.
Crossref
James T. Thorson. (2018) Forecast skill for predicting distribution shifts: A retrospective experiment for marine fishes in the Eastern Bering Sea. Fish and Fisheries 20:1, pages 159-173.
Crossref
Chong Wang & David M. Blei. (2018) A General Method for Robust Bayesian Modeling. Bayesian Analysis 13:4.
Crossref
Emiao Lu, Julia Handl & Dong-ling Xu. (2018) Determining analogies based on the integration of multiple information sources. International Journal of Forecasting 34:3, pages 507-528.
Crossref
Jacob V. Spertus & Sharon‐Lise T. Normand. (2018) Bayesian propensity scores for high‐dimensional causal inference: A comparison of drug‐eluting to bare‐metal coronary stents. Biometrical Journal 60:4, pages 721-733.
Crossref
Stefan Frässle, Yu Yao, Dario Schöbi, Eduardo A. Aponte, Jakob Heinzle & Klaas E. Stephan. (2018) Generative models for clinical applications in computational psychiatry. WIREs Cognitive Science 9:3.
Crossref
Nageena Nazir, S. A. Mir & M. Iqbal Jeelani. (2018) Hierarchical bayes small area estimation under an area level model with applications to horticultural survey data. INTERNATIONAL RESEARCH JOURNAL OF AGRICULTURAL ECONOMICS AND STATISTICS 9:1, pages 215-223.
Crossref
Charles Bouveyron, Pierre Latouche & Pierre-Alexandre Mattei. (2018) Bayesian variable selection for globally sparse probabilistic PCA. Electronic Journal of Statistics 12:2.
Crossref
James Weimer, Radoslav Ivanov, Sanjian Chen, Alexander Roederer, Oleg Sokolsky & Insup Lee. (2018) Parameter-Invariant Monitor Design for Cyber–Physical Systems. Proceedings of the IEEE 106:1, pages 71-92.
Crossref
Christopher L. Buckley, Chang Sub Kim, Simon McGregor & Anil K. Seth. (2017) The free energy principle for action and perception: A mathematical review. Journal of Mathematical Psychology 81, pages 55-79.
Crossref
James T. ThorsonRobert FonnerMelissa A. HaltuchKotaro OnoHenning Winker. (2017) Accounting for spatiotemporal variation and fisher targeting when estimating abundance from multispecies fishery data. Canadian Journal of Fisheries and Aquatic Sciences 74:11, pages 1794-1807.
Crossref
Liang He, Janne Pitkäniemi, Karri Silventoinen & Mikko J. Sillanpää. (2017) ACEt: An R Package for Estimating Dynamic Heritability and Comparing Twin Models. Behavior Genetics 47:6, pages 620-641.
Crossref
Karl J. Friston, A. David Redish & Joshua A. Gordon. (2017) Computational Nosology and Precision Psychiatry. Computational Psychiatry 1:0, pages 2.
Crossref
Damien Fay, Liam O?Toole & Kenneth N. Brown. (2017) Gaussian Process models for ubiquitous user comfort preference sampling; global priors, active sampling and outlier rejection. Pervasive and Mobile Computing 39, pages 135-158.
Crossref
Hyungsuk Tak & Carl N. Morris. (2017) Data-Dependent Posterior Propriety of a Bayesian Beta-Binomial-Logit Model. Bayesian Analysis 12:2.
Crossref
Xiaoquan Wen, Roger Pique-Regi & Francesca Luca. (2017) Integrating molecular QTL data into genome-wide genetic association analysis: Probabilistic assessment of enrichment and colocalization. PLOS Genetics 13:3, pages e1006646.
Crossref
Karl FristonThomas FitzGeraldFrancesco RigoliPhilipp Schwartenbeck & Giovanni Pezzulo. (2017) Active Inference: A Process Theory. Neural Computation 29:1, pages 1-49.
Crossref
. 2017. Survey Sampling Theory and Applications. Survey Sampling Theory and Applications 859 881 .
Line Kühnel & Stefan Sommer. 2017. Information Processing in Medical Imaging. Information Processing in Medical Imaging 53 64 .
William T. Barry. 2017. Breast Cancer. Breast Cancer 915 924 .
Dimitris Kouzoupis, Rien Quirynen, Jesus Lago Garcia, Michael Erhard & Moritz Diehl. (2016) A quadratically convergent primal decomposition algorithm with soft coupling for nonlinear parameter estimation. A quadratically convergent primal decomposition algorithm with soft coupling for nonlinear parameter estimation.
Klaas E. Stephan, Zina M. Manjaly, Christoph D. Mathys, Lilian A. E. Weber, Saee Paliwal, Tim Gard, Marc Tittgemeyer, Stephen M. Fleming, Helene Haker, Anil K. Seth & Frederike H. Petzschner. (2016) Allostatic Self-efficacy: A Metacognitive Theory of Dyshomeostasis-Induced Fatigue and Depression. Frontiers in Human Neuroscience 10.
Crossref
Karl Friston. 2016. Das Unbewusste – Eine Brücke zwischen Psychoanalyse und Neurowissenschaften. Das Unbewusste – Eine Brücke zwischen Psychoanalyse und Neurowissenschaften 63 96 .
Timothy J. MillerJonathan A. HareLarry A. Alade. (2016) A state-space approach to incorporating environmental effects on recruitment in an age-structured assessment model with an application to southern New England yellowtail flounder. Canadian Journal of Fisheries and Aquatic Sciences 73:8, pages 1261-1270.
Crossref
David W Morgens, Richard M Deans, Amy Li & Michael C Bassik. (2016) Systematic comparison of CRISPR/Cas9 and RNAi screens for essential genes. Nature Biotechnology 34:6, pages 634-636.
Crossref
Il Do Ha, Florin Vaida & Youngjo Lee. (2013) Interval estimation of random effects in proportional hazards models with frailties. Statistical Methods in Medical Research 25:2, pages 936-953.
Crossref
Daniel J. Graham, Emma J. McCoy & David A. Stephens. (2016) Approximate Bayesian Inference for Doubly Robust Estimation. Bayesian Analysis 11:1.
Crossref
Aritra Sengupta, Noel Cressie, Brian H. Kahn & Richard Frey. (2016) Predictive Inference for Big, Spatial, Non‐Gaussian Data: MODIS Cloud Data and its Change‐of‐Support. Australian & New Zealand Journal of Statistics 58:1, pages 15-45.
Crossref
Karl J. Friston, Vladimir Litvak, Ashwini Oswal, Adeel Razi, Klaas E. Stephan, Bernadette C.M. van Wijk, Gabriel Ziegler & Peter Zeidman. (2016) Bayesian model reduction and empirical Bayes for group (DCM) studies. NeuroImage 128, pages 413-431.
Crossref
Stefan Frässle, Frieder Michel Paulus, Sören Krach & Andreas Jansen. (2015) Test‐retest reliability of effective connectivity in the face perception network. Human Brain Mapping 37:2, pages 730-744.
Crossref
Karl Friston, Peter Zeidman & Vladimir Litvak. (2015) Empirical Bayes for DCM: A Group Inversion Scheme. Frontiers in Systems Neuroscience 9.
Crossref
J.N.K. Rao & Isabel Molina. 2015. Small Area Estimation. Small Area Estimation 405 430 .
Christoffer Moesgaard Albertsen, Kim Whoriskey, David Yurkowski, Anders Nielsen & Joanna Mills Flemming. (2015) Fast fitting of non‐Gaussian state‐space models to animal movement data via Template Model Builder. Ecology 96:10, pages 2598-2604.
Crossref
Mahmoud Torabi, Subhash R. Lele & Narasimha G.N. Prasad. (2015) Likelihood inference for small area estimation using data cloning. Computational Statistics & Data Analysis 89, pages 158-171.
Crossref
Stefan Frässle, Klaas Enno Stephan, Karl John Friston, Marlena Steup, Sören Krach, Frieder Michel Paulus & Andreas Jansen. (2015) Test-retest reliability of dynamic causal modeling for fMRI. NeuroImage 117, pages 56-66.
Crossref
Karl Friston, Michael Levin, Biswa Sengupta & Giovanni Pezzulo. (2015) Knowing one's place: a free-energy approach to pattern regulation. Journal of The Royal Society Interface 12:105, pages 20141383.
Crossref
Peter P Howley, Stephen J Hancock, Robert W Gibberd, Sheuwen Chuang & Frank A Tuyl. (2015) Bayesian methods in reporting and managing Australian clinical indicators. World Journal of Clinical Cases 3:7, pages 625.
Crossref
J. N. K. Rao. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Edward J. Stanek. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Carl N. Morris & Cindy L. Christiansen. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Constantine Gatsonis. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Sander Greenland. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
R. E. Kass. 2014. Wiley StatsRef: Statistics Reference Online. Wiley StatsRef: Statistics Reference Online.
Balgobin Nandram, Emily Berg & Wendy Barboza. (2013) A hierarchical Bayesian model for forecasting state-level corn yield. Environmental and Ecological Statistics 21:3, pages 507-530.
Crossref
Hans J. Skaug & Jun Yu. (2014) A flexible and automated likelihood based framework for inference in stochastic volatility models. Computational Statistics & Data Analysis 76, pages 642-654.
Crossref
Kai Wang, Xi Chen, Feng Yang, Dale W. Porter & Nianqiang Wu. (2014) A New Stochastic Kriging Method for Modeling Multi-Source Exposure–Response Data in Toxicology Studies. ACS Sustainable Chemistry & Engineering 2:7, pages 1581-1591.
Crossref
Rodolphe Thiébaut, Julia Drylewicz, Mélanie Prague, Christine Lacabaratz, Stéphanie Beq, Ana Jarne, Thérèse Croughs, Rafick-Pierre Sekaly, Michael M. Lederman, Irini Sereti, Daniel Commenges & Yves Lévy. (2014) Quantifying and Predicting the Effect of Exogenous Interleukin-7 on CD4+T Cells in HIV-1 Infection. PLoS Computational Biology 10:5, pages e1003630.
Crossref
Aurelien Schutz, Lionel Bombrun & Yannick Berthoumieu. (2014) Intrinsic prior for Bayesian classification of texture images. Intrinsic prior for Bayesian classification of texture images.
Andrew T. Karl, Yan Yang & Sharon L. Lohr. (2014) Computation of maximum likelihood estimates for multiresponse generalized linear mixed models with non-nested, correlated random effects. Computational Statistics & Data Analysis 73, pages 146-162.
Crossref
Karl Friston, Biswa Sengupta & Gennaro Auletta. (2014) Cognitive Dynamics: From Attractors to Active Inference. Proceedings of the IEEE 102:4, pages 427-445.
Crossref
Jan-Willem van de Meent, Jonathan E. Bronson, Chris H. Wiggins & Ruben L. GonzalezJr.Jr.. (2014) Empirical Bayes Methods Enable Advanced Population-Level Analyses of Single-Molecule FRET Experiments. Biophysical Journal 106:6, pages 1327-1337.
Crossref
Karl Friston. (2013) Life as we know it. Journal of The Royal Society Interface 10:86, pages 20130475.
Crossref
Melanie Sohns, Elena Viktorova, Christopher I. Amos, Paul Brennan, Gord Fehringer, Valerie Gaborieau, Younghun Han, Joachim Heinrich, Jenny Chang‐Claude, Rayjean J. Hung, Martina Müller‐Nurasyid, Angela Risch, Juan Pablo Lewinger, Duncan C. Thomas & Heike Bickeböller. (2013) Empirical Hierarchical Bayes Approach to Gene‐Environment Interactions: Development and Application to Genome‐Wide Association Studies of Lung Cancer in TRICL. Genetic Epidemiology 37:6, pages 551-559.
Crossref
M?lanie Prague, Daniel Commenges, J?r?mie Guedj, Julia Drylewicz & Rodolphe Thi?baut. (2013) NIMROD: A program for inference via a normal approximation of the posterior in models with random effects based on ordinary differential equations. Computer Methods and Programs in Biomedicine 111:2, pages 447-458.
Crossref
M.D. Pandey & D. Lu. (2013) Estimation of parameters of degradation growth rate distribution from noisy measurement data. Structural Safety 43, pages 60-69.
Crossref
Aritra Sengupta & Noel Cressie. (2013) Hierarchical statistical modeling of big spatial datasets using the exponential family of distributions. Spatial Statistics 4, pages 14-44.
Crossref
Boris Freidlin & Edward L. Korn. (2013) Borrowing Information across Subgroups in Phase II Trials: Is It Useful?. Clinical Cancer Research 19:6, pages 1326-1334.
Crossref
Karl J. Friston & Dominic A. Friston. 2013. Sound - Perception - Performance. Sound - Perception - Performance 43 69 .
Dennis D Boos & L. A StefanskiDenni D Boos & L A Stefanski. 2013. Essential Statistical Inference. Essential Statistical Inference 363 383 .
Dennis D Boos & L. A StefanskiDenni D Boos & L A Stefanski. 2013. Essential Statistical Inference. Essential Statistical Inference 339 359 .
Dennis D Boos & L. A StefanskiDenni D Boos & L A Stefanski. 2013. Essential Statistical Inference. Essential Statistical Inference 297 337 .
Dennis D Boos & L. A StefanskiDenni D Boos & L A Stefanski. 2013. Essential Statistical Inference. Essential Statistical Inference 275 293 .
Dennis D Boos & L. A StefanskiDenni D Boos & L A Stefanski. 2013. Essential Statistical Inference. Essential Statistical Inference 207 274 .
Dennis D Boos & L. A StefanskiDenni D Boos & L A Stefanski. 2013. Essential Statistical Inference. Essential Statistical Inference 163 203 .
Dennis D Boos & L. A StefanskiDenni D Boos & L A Stefanski. 2013. Essential Statistical Inference. Essential Statistical Inference 125 161 .
Dennis D Boos & L. A StefanskiDenni D Boos & L A Stefanski. 2013. Essential Statistical Inference. Essential Statistical Inference 449 530 .
Dennis D Boos & L. A StefanskiDenni D Boos & L A Stefanski. 2013. Essential Statistical Inference. Essential Statistical Inference 413 448 .
Dennis D Boos & L. A StefanskiDenni D Boos & L A Stefanski. 2013. Essential Statistical Inference. Essential Statistical Inference 385 411 .
Dennis D Boos & L. A StefanskiDenni D Boos & L A Stefanski. 2013. Essential Statistical Inference. Essential Statistical Inference 3 23 .
Christian Schellhase & Göran Kauermann. (2011) Density estimation and comparison with a penalized mixture approach. Computational Statistics 27:4, pages 757-777.
Crossref
Damien Fay, Kenneth N. Brown & Liam O'Toole. (2012) Lies, damn lies and preferences. Lies, damn lies and preferences.
Brenton R. Clarke, Peter L. McKinnon & Geoff Riley. (2011) A fast robust method for fitting gamma distributions. Statistical Papers 53:4, pages 1001-1014.
Crossref
Brian P. Hobbs, Daniel J. Sargent & Bradley P. Carlin. (2012) Commensurate Priors for Incorporating Historical Information in Clinical Trials Using General and Generalized Linear Models. Bayesian Analysis 7:3.
Crossref
Satoshi Morita, Peter F. Thall & Peter Müller. (2012) Prior Effective Sample Size in Conditionally Independent Hierarchical Models. Bayesian Analysis 7:3.
Crossref
Mélanie Prague, Daniel Commenges, Julia Drylewicz & Rodolphe Thiébaut. (2012) Treatment Monitoring of HIV‐Infected Patients based on Mechanistic Models. Biometrics 68:3, pages 902-911.
Crossref
Bradley P. Carlin. 2001. Encyclopedia of Environmetrics. Encyclopedia of Environmetrics.
Sean Martin & Jonathan DeSena. (2012) Bayesian inference of multiple object classifications through disparate classifier fusion. Bayesian inference of multiple object classifications through disparate classifier fusion.
B. Apolloni & S. Bassis. (2011) Confidence About Possible Explanations. IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) 41:6, pages 1639-1653.
Crossref
Mijung Park & Jonathan W. Pillow. (2011) Receptive Field Inference with Localized Priors. PLoS Computational Biology 7:10, pages e1002219.
Crossref
Peter F. Thall, Diane D. Liu, Su G. Berrak & Johannes E. Wolff. (2011) Defining and ranking effects of individual agents based on survival times of cancer patients treated with combination chemotherapies. Statistics in Medicine 30:15, pages 1777-1794.
Crossref
Karl Friston & Will Penny. (2011) Post hoc Bayesian model selection. NeuroImage 56:4, pages 2089-2099.
Crossref
Tie-Yan LiuTie-Yan Liu. 2011. Learning to Rank for Information Retrieval. Learning to Rank for Information Retrieval 71 88 .
Harvey Goldstein. 2010. Multilevel Statistical Models. Multilevel Statistical Models 333 346 .
Y. Fong, H. Rue & J. Wakefield. (2009) Bayesian inference for generalized linear mixed models. Biostatistics 11:3, pages 397-412.
Crossref

Displaying 200 of 283 citing articles. Use the download link below to view the full list of citing articles.

Download full citations list

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.