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Journal of the American Statistical Association Volume 91, 1996 - Issue 435
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Theory and Method

The Selection of Prior Distributions by Formal Rules

Robert E. Kass Department of Statistics, Carnegie Mellon University, Pittsburgh, PA, 15213
&
Larry Wasserman Department of Statistics, Carnegie Mellon University, Pittsburgh, PA, 15213
Pages 1343-1370 | Received 01 Dec 1993, Published online: 27 Feb 2012

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Shehu S AbdusSalam, Fruzsina J Agocs, Benjamin C Allanach, Peter Athron, Csaba Balázs, Emanuele Bagnaschi, Philip Bechtle, Oliver Buchmueller, Ankit Beniwal, Jihyun Bhom, Sanjay Bloor, Torsten Bringmann, Andy Buckley, Anja Butter, José Eliel Camargo-Molina, Marcin Chrzaszcz, Jan Conrad, Jonathan M Cornell, Matthias Danninger, Jorge de Blas, Albert De Roeck, Klaus Desch, Matthew Dolan, Herbert Dreiner, Otto Eberhardt, John Ellis, Ben Farmer, Marco Fedele, Henning Flächer, Andrew Fowlie, Tomás E Gonzalo, Philip Grace, Matthias Hamer, Will Handley, Julia Harz, Sven Heinemeyer, Sebastian Hoof, Selim Hotinli, Paul Jackson, Felix Kahlhoefer, Kamila Kowalska, Michael Krämer, Anders Kvellestad, Miriam Lucio Martinez, Farvah Mahmoudi, Diego Martinez Santos, Gregory D Martinez, Satoshi Mishima, Keith Olive, Ayan Paul, Markus Tobias Prim, Werner Porod, Are Raklev, Janina J Renk, Christopher Rogan, Leszek Roszkowski, Roberto Ruiz de Austri, Kazuki Sakurai, Andre Scaffidi, Pat Scott, Enrico Maria Sessolo, Tim Stefaniak, Patrick Stöcker, Wei Su, Sebastian Trojanowski, Roberto Trotta, Yue-Lin Sming Tsai, Jeriek Van den Abeele, Mauro Valli, Aaron C Vincent, Georg Weiglein, Martin White, Peter Wienemann, Lei Wu & Yang Zhang. (2022) Simple and statistically sound recommendations for analysing physical theories. Reports on Progress in Physics 85:5, pages 052201.
Crossref
A. Gupta, R. S. Govindaraju, R. Morbidelli & C. Corradini. (2022) The Role of Prior Probabilities on Parameter Estimation in Hydrological Models. Water Resources Research 58:5.
Crossref
Christopher G. Thompson, Brandie Semma, Naike Wang & Idean Ettekal. (2022) Using Bayesian Meta-Regression to Advance Prevention Science Research: an Introduction and Empirical Illustration. Prevention Science 23:3, pages 455-466.
Crossref
Sara Salvador & Riccardo Gatto. (2021) Bayesian tests of symmetry for the generalized Von Mises distribution. Computational Statistics 37:2, pages 947-974.
Crossref
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Crossref
Iván Díaz, Oleksander Savenkov & Hooman Kamel. (2022) Nonparametric targeted Bayesian estimation of class proportions in unlabeled data. Biostatistics 23:1, pages 274-293.
Crossref
Vicente J. Romero. (2022) Arguments for the Generality and Effectiveness of “Discrete Direct” Model Calibration and Uncertainty Propagation vs. Other Calibration-UQ Approaches. Arguments for the Generality and Effectiveness of “Discrete Direct” Model Calibration and Uncertainty Propagation vs. Other Calibration-UQ Approaches.
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Crossref
Jordan Phillipson, Gordon Blair & Peter Henrys. (2022) Quantifying uncertainty in land cover mappings: An adaptive approach to sampling reference data using Bayesian inference. Environmental Data Science 1.
Crossref
Aziz Omar, Timo von Oertzen & Thomas Augustin. 2022. Information Processing and Management of Uncertainty in Knowledge-Based Systems. Information Processing and Management of Uncertainty in Knowledge-Based Systems 532 544 .
Gary P. Centers, John W. Blanchard, Jan Conrad, Nataniel L. Figueroa, Antoine Garcon, Alexander V. Gramolin, Derek F. Jackson Kimball, Matthew Lawson, Bart Pelssers, Joseph A. Smiga, Alexander O. Sushkov, Arne Wickenbrock, Dmitry Budker & Andrei Derevianko. (2021) Stochastic fluctuations of bosonic dark matter. Nature Communications 12:1.
Crossref
Katharina Selig, Pamela Shaw & Donna Ankerst. (2021) Bayesian information criterion approximations to Bayes factors for univariate and multivariate logistic regression models. The International Journal of Biostatistics 17:2, pages 241-266.
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Crossref
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Crossref
Jesús Rubio, Janet Anders & Luis A. Correa. (2021) Global Quantum Thermometry. Physical Review Letters 127:19.
Crossref
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Konstantinos N. Konstantakis, Despoina Paraskeuopoulou, Panayotis G. Michaelides & Efthymios G. Tsionas. (2020) Bank deposits and Google searches in a crisis economy: Bayesian non‐linear evidence for Greece (2009–2015). International Journal of Finance & Economics 26:4, pages 5408-5424.
Crossref
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Attila Ambrus & Aaron Kolb. (2020) On defining ex ante payoffs in games with diffuse prior. Economic Theory 72:2, pages 445-472.
Crossref
Morris L. Eaton & Edward I. George. (2021) Charles Stein and invariance: Beginning with the Hunt–Stein theorem. The Annals of Statistics 49:4.
Crossref
Scott Koermer & Aaron Noble. (2021) The utility of Bayesian data reconciliation for separations. Minerals Engineering 169, pages 106837.
Crossref
G. Chen, L. Chacón & T.B. Nguyen. (2021) An unsupervised machine-learning checkpoint-restart algorithm using Gaussian mixtures for particle-in-cell simulations. Journal of Computational Physics 436, pages 110185.
Crossref
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Selma Metzner, Gerd Wübbeler, Sebastian Flassbeck, Constance Gatefait, Christoph Kolbitsch & Clemens Elster. (2021) Bayesian uncertainty quantification for magnetic resonance fingerprinting. Physics in Medicine & Biology 66:7, pages 075006.
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József Fiser & Ádám Koblinger. (2021) A probabilistic hammer for nailing complex neural data analyses. Neuron 109:7, pages 1077-1079.
Crossref
Miklós Rédei & Zalán Gyenis. (2019) Having a look at the Bayes Blind Spot. Synthese 198:4, pages 3801-3832.
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Christopher D. Fiorillo & Sunil L. Kim. (2021) The Objective Bayesian Probability that an Unknown Positive Real Variable Is Greater Than a Known Is 1/2. Philosophies 6:1, pages 24.
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María Eugenia Castellanos, Gonzalo García-Donato & Stefano Cabras. (2021) A Model Selection Approach for Variable Selection with Censored Data. Bayesian Analysis 16:1.
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Crossref
S Demeyer, N Fischer & C Elster. (2020) Guidance on Bayesian uncertainty evaluation for a class of GUM measurement models. Metrologia 58:1, pages 014001.
Crossref
Magnus M. Münch, Mark A. van de Wiel, Sylvia Richardson & Gwenaël G. R. Leday. (2020) Drug sensitivity prediction with normal inverse Gaussian shrinkage informed by external data. Biometrical Journal 63:2, pages 289-304.
Crossref
Magdalena Niewiadomska‐Bugaj & Robert Bartoszynski. 2021. Probability and Statistical Inference, Third Edition. Probability and Statistical Inference, Third Edition 555 558 .
PEDRO L. RAMOS, DIPAK K. DEY, FRANCISCO LOUZADA & EDUARDO RAMOS. (2021) On Posterior Properties of the Two Parameter Gamma Family of Distributions. Anais da Academia Brasileira de Ciências 93:suppl 3.
Crossref
Don van Ravenzwaaij & Alexander Etz. (2021) Simulation Studies as a Tool to Understand Bayes Factors. Advances in Methods and Practices in Psychological Science 4:1, pages 251524592097262.
Crossref
C.M. Parsons, A. Judge, R. Meyer, O. Bruyère, F. Petit-Dop, R. Chapurlat, J.-Y. Reginster, C. Cooper & H. Inskip. (2021) Determining individual trajectories of joint space loss: improved statistical methods for monitoring knee osteoarthritis disease progression. Osteoarthritis and Cartilage 29:1, pages 59-67.
Crossref
Glen Cowan. 2021. Handbook of Particle Detection and Imaging. Handbook of Particle Detection and Imaging 117 143 .
Matthew P. Fox, Richard F. MacLehose & Timothy L. LashMatthew P. Fox, Richard F. MacLehose & Timothy L. Lash. 2021. Applying Quantitative Bias Analysis to Epidemiologic Data. Applying Quantitative Bias Analysis to Epidemiologic Data 369 413 .
Inge S. HellandInge S. Helland. 2021. Epistemic Processes. Epistemic Processes 25 43 .
Sanne C. Smid & Sonja D. Winter. (2020) Dangers of the Defaults: A Tutorial on the Impact of Default Priors When Using Bayesian SEM With Small Samples. Frontiers in Psychology 11.
Crossref
Jeffrey S. Hazboun, Joseph Simon, Xavier Siemens & Joseph D. Romano. (2020) Model Dependence of Bayesian Gravitational-wave Background Statistics for Pulsar Timing Arrays. The Astrophysical Journal Letters 905:1, pages L6.
Crossref
David R. Bickel. (2020) An Explanatory Rationale for Priors Sharpened Into Occam’s Razors. Bayesian Analysis 15:4.
Crossref
Fabrizio Leisen, Cristiano Villa & Stephen G. Walker. (2020) On a Class of Objective Priors from Scoring Rules (with Discussion). Bayesian Analysis 15:4.
Crossref
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Crossref
Terje Aven. (2020) Bayesian analysis: Critical issues related to its scope and boundaries in a risk context. Reliability Engineering & System Safety 204, pages 107209.
Crossref
Marco Pollo Almeida, Rafael S. Paixão, Pedro L. Ramos, Vera Tomazella, Francisco Louzada & Ricardo S. Ehlers. (2020) Bayesian non-parametric frailty model for dependent competing risks in a repairable systems framework. Reliability Engineering & System Safety 204, pages 107145.
Crossref
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Crossref
Eduardo Ramos, Pedro L. Ramos & Francisco Louzada. (2020) Posterior properties of the Weibull distribution for censored data. Statistics & Probability Letters 166, pages 108873.
Crossref
Lee N. Johnson & Scott A. Baldwin. (2020) An Introduction and Illustration of Bayesian Modeling in Couple and Family Therapy Research. Journal of Marital and Family Therapy 46:4, pages 620-637.
Crossref
Dong Hyuk Yi, Deuk Woo Kim & Cheol Soo Park. (2020) Prior selection method using likelihood confidence region and Dirichlet process Gaussian mixture model for Bayesian inference of building energy models. Energy and Buildings 224, pages 110293.
Crossref
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Crossref
Jesús Rubio, Paul A Knott, Timothy J Proctor & Jacob A Dunningham. (2020) Quantum sensing networks for the estimation of linear functions. Journal of Physics A: Mathematical and Theoretical 53:34, pages 344001.
Crossref
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