89
Views
56
CrossRef citations to date
0
Altmetric
Theory and Method

Multiple Hypergeometric Functions: Probabilistic Interpretations and Statistical Uses

Pages 628-637 | Received 01 Oct 1981, 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 (12)

Carlos Daniel Paulino & Giovani L. Silva. (2019) Bayesian comparison of diagnostic tests with largely non-informative missing data. Journal of Statistical Computation and Simulation 89:10, pages 1877-1886.
Read now
Rita Esther Zapata-Vázquez, Anthony O'Hagan & Leonardo Soares Bastos. (2014) Eliciting expert judgements about a set of proportions. Journal of Applied Statistics 41:9, pages 1919-1933.
Read now
S.H. Ong & C.M. Ng. (2013) A Bivariate Generalization of the Noncentral Negative Binomial Distribution. Communications in Statistics - Simulation and Computation 42:3, pages 570-585.
Read now
Francesca Di Salvo. (2008) A characterization of the distribution of a weighted sum of gamma variables through multiple hypergeometric functions. Integral Transforms and Special Functions 19:8, pages 563-575.
Read now
T. Pham-Gia, N. Turkkan & E. Marchand. (2006) Density of the Ratio of Two Normal Random Variables and Applications. Communications in Statistics - Theory and Methods 35:9, pages 1569-1591.
Read now
Paulo Soares & Carlos Daniel Paulino. (2001) Incomplete categorical data analysis: a bayesian perspective. Journal of Statistical Computation and Simulation 69:2, pages 157-170.
Read now
JamesM. Dickey & ThomasJ. Jiang. (1998) Filtered-Variate Prior Distributions for Histogram Smoothing. Journal of the American Statistical Association 93:442, pages 651-662.
Read now
ThomasJ. Jiang, JosephB. Kadane & JamesM. Dickey. (1992) Computation of Carlson's Multiple Hypergeometric Function R for Bayesian Applications. Journal of Computational and Graphical Statistics 1:3, pages 231-251.
Read now
Carlos Daniel Mimoso Paulino & Carlos Alberto De Bragança Pereira. (1992) Bayesian analysis of categorical data informatively censored. Communications in Statistics - Theory and Methods 21:9, pages 2689-2705.
Read now
JamesM. Dickey, Jhy-Ming Jiang & JosephB. Kadane. (1987) Bayesian Methods for Censored Categorical Data. Journal of the American Statistical Association 82:399, pages 773-781.
Read now
JamesM. Dickey. (1985) A COMPREHENSIVC GENERALIZED MEAN VALUE BASED ON THE DIRICHLET DISTRIBUTION. Quaestiones Mathematicae 8:4, pages 343-360.
Read now

Articles from other publishers (44)

Princy Thankamani, Nicy Sebastian & Hans J. Haubold. (2023) On Complex Matrix-Variate Dirichlet Averages and Its Applications in Various Sub-Domains. Entropy 25:11, pages 1534.
Crossref
Ruixin Zhao, Hongmei Liu & Yu Tang. (2023) Generalized Dirichlet Distribution Based on Confluent Hypergeometric Series. Academic Journal of Science and Technology 5:2, pages 121-124.
Crossref
Olga Bogachek, Antonio De Vito, Paul Demere & Francesco Grossetti. (2023) Using Narrative Disclosures to Predict Tax Outcomes. SSRN Electronic Journal.
Crossref
Tung Dang, Kie Kumaishi, Erika Usui, Shungo Kobori, Takumi Sato, Yusuke Toda, Yuji Yamasaki, Hisashi Tsujimoto, Yasunori Ichihashi & Hiroyoshi Iwata. (2022) Stochastic variational variable selection for high-dimensional microbiome data. Microbiome 10:1.
Crossref
Ruobin Gong, Joseph B. Kadane, Mark J. Schervish, Teddy Seidenfeld & Rafael B. Stern. (2022) Learning and total evidence with imprecise probabilities. International Journal of Approximate Reasoning 151, pages 21-32.
Crossref
Dinesh Kumar, Jeta Ram & Junesang Choi. (2022) Dirichlet Averages of Generalized Mittag-Leffler Type Function. Fractal and Fractional 6:6, pages 297.
Crossref
Ilham El Ouariachi, Rachid Benouini, Khalid Zenkouar, Arsalane Zarghili & Hakim El Fadili. (2022) RGB-D feature extraction method for hand gesture recognition based on a new fast and accurate multi-channel cartesian Jacobi moment invariants. Multimedia Tools and Applications 81:9, pages 12725-12757.
Crossref
Patrick Föll & Frédéric Thiesse. (2021) Exploring Information Systems Curricula. Business & Information Systems Engineering 63:6, pages 711-732.
Crossref
Adnan Muhammad Shah, Xiangbin Yan, Samia Tariq & Mudassar Ali. (2021) What patients like or dislike in physicians: Analyzing drivers of patient satisfaction and dissatisfaction using a digital topic modeling approach. Information Processing & Management 58:3, pages 102516.
Crossref
Gloria Mateu-Figueras, Gianna S. Monti & J. J. Egozcue. 2021. Advances in Compositional Data Analysis. Advances in Compositional Data Analysis 61 82 .
Junchi Zhang, Mengchi Liu & Yue Zhang. (2020) Topic-informed neural approach for biomedical event extraction. Artificial Intelligence in Medicine 103, pages 101783.
Crossref
Xavier Sumba & Nizar Bouguila. 2020. Advances in Artificial Intelligence. Advances in Artificial Intelligence 496 507 .
Anurendra Kumar, Tanaya Guha & Prasanta Kumar Ghosh. (2019) Dirichlet Latent Variable Model: A Dynamic Model Based on Dirichlet Prior for Audio Processing. IEEE/ACM Transactions on Audio, Speech, and Language Processing 27:5, pages 919-931.
Crossref
Kevin James Wilson. (2018) Specification of Informative Prior Distributions for Multinomial Models Using Vine Copulas. Bayesian Analysis 13:3.
Crossref
Suchul Lee, Sungho Kim, Sungil Lee, Jaehyuk Choi, Hanjun Yoon, Dohoon Lee & Jun-Rak Lee. (2018) LARGen: Automatic Signature Generation for Malwares Using Latent Dirichlet Allocation. IEEE Transactions on Dependable and Secure Computing 15:5, pages 771-783.
Crossref
Thorsten Glüsenkamp. (2018) Probabilistic treatment of the uncertainty from the finite size of weighted Monte Carlo data. The European Physical Journal Plus 133:6.
Crossref
Konstantinos Bougiatiotis & Theodoros Giannakopoulos. (2018) Enhanced movie content similarity based on textual, auditory and visual information. Expert Systems with Applications 96, pages 86-102.
Crossref
John Paul Gosling. 2018. Elicitation. Elicitation 61 93 .
Dinesh Puranam, Vishal Narayan & Vrinda Kadiyali. (2017) The Effect of Calorie Posting Regulation on Consumer Opinion: A Flexible Latent Dirichlet Allocation Model with Informative Priors. Marketing Science 36:5, pages 726-746.
Crossref
Yi Chen, Xiaolong Wang, Xin Xiang, Buzhou Tang, Qingcai Chen, Shixi Fan & Junzhao Bu. (2017) Overlapping community detection in weighted networks via a Bayesian approach. Physica A: Statistical Mechanics and its Applications 468, pages 790-801.
Crossref
Konstantinos Bougiatiotis & Theodoros Giannakopoulos. (2016) Content Representation and Similarity of Movies based on Topic Extraction from Subtitles. Content Representation and Similarity of Movies based on Topic Extraction from Subtitles.
Haijing Hao & Kunpeng Zhang. (2016) The Voice of Chinese Health Consumers: A Text Mining Approach to Web-Based Physician Reviews. Journal of Medical Internet Research 18:5, pages e108.
Crossref
Xiaochun Yun, Yipeng Wang, Yongzheng Zhang & Yu Zhou. (2016) A Semantics-Aware Approach to the Automated Network Protocol Identification. IEEE/ACM Transactions on Networking 24:1, pages 583-595.
Crossref
T. Pham-Gia & Dinh Ngoc Thanh. (2016) Hypergeometric Functions: From One Scalar Variable to Several Matrix Arguments, in Statistics and Beyond. Open Journal of Statistics 06:05, pages 951-994.
Crossref
Ronald W. Butler & Andrew T. A. Wood. (2014) Laplace approximation of Lauricella functions F A and F D. Advances in Computational Mathematics 41:6, pages 1015-1037.
Crossref
Jing Ya, Tingwen Liu, Haoliang Zhang, Jinqiao Shi & Li Guo. (2015) An automatic approach to extract the formats of network and security log messages. An automatic approach to extract the formats of network and security log messages.
Alex James Wilson & John Joseph. 2015. Cognition and Strategy. Cognition and Strategy 407 435 .
Wentao Fan & Nizar Bouguila. (2013) Variational learning of a Dirichlet process of generalized Dirichlet distributions for simultaneous clustering and feature selection. Pattern Recognition 46:10, pages 2754-2769.
Crossref
Alexei Onatski, Marcelo J. Moreira & Marc Hallin. (2013) Asymptotic power of sphericity tests for high-dimensional data. The Annals of Statistics 41:3.
Crossref
Yipeng Wang, Xiaochun Yun, M. Zubair Shafiq, Liyan Wang, Alex X. Liu, Zhibin Zhang, Danfeng Yao, Yongzheng Zhang & Li Guo. (2012) A semantics aware approach to automated reverse engineering unknown protocols. A semantics aware approach to automated reverse engineering unknown protocols.
Teodor Costachioiu, Iulian Nita, Vasile Lazarescu & Mihai Datcu. (2012) A semantic framework for data retrieval in large remote sensing databases. A semantic framework for data retrieval in large remote sensing databases.
Nicholas Vretos, Nikos Nikolaidis & Ioannis Pitas. (2012) Video fingerprinting using Latent Dirichlet Allocation and facial images. Pattern Recognition 45:7, pages 2489-2498.
Crossref
. 2012. Textual Information Access. Textual Information Access 129 177 .
Yusik Kim & C. Germain-Renaud. (2011) Characterizing E-Science File Access Behavior via Latent Dirichlet Allocation. Characterizing E-Science File Access Behavior via Latent Dirichlet Allocation.
Kai Wang Ng, Guo‐Liang Tian & Man‐Lai Tang. 2011. Dirichlet and Related Distributions. Dirichlet and Related Distributions 289 302 .
Timo Koski & John M. Noble. 2009. Bayesian Networks. Bayesian Networks 335 341 .
Chin Diew Lai & N. BalakrishnanN. Balakrishna & Chin Diew Lai. 2009. Continuous Bivariate Distributions. Continuous Bivariate Distributions 351 400 .
James M. Dickey & Thomas J. Jiang. (2008) Bayesian methods for categorical data under informative censoring. Bayesian Analysis 3:3.
Crossref
VILLE-VEIKKO RANTANEN, MATS GYLLENBERG, TIMO KOSKI & MARK S. JOHNSON. (2011) A PRIORI CONTACT PREFERENCES IN MOLECULAR RECOGNITION . Journal of Bioinformatics and Computational Biology 03:04, pages 861-890.
Crossref
Thomas J Jiang, James M Dickey & Kun-Lin Kuo. (2004) A new multivariate transform and the distribution of a random functional of a Ferguson–Dirichlet process. Stochastic Processes and their Applications 111:1, pages 77-95.
Crossref
Antonio Lijoi & Eugenio Regazzini. (2004) Means of a Dirichlet process and multiple hypergeometric functions. The Annals of Probability 32:2.
Crossref
Poh-Aun Lee, Seng-Huat Ong & H.M. Srivastava. (1999) Probabilistic derivation of some generating functions for the Laguerre polynomials. Computers & Mathematics with Applications 38:7-8, pages 21-29.
Crossref
Wesley O. Johnson. 1999. Diagnosis and Prediction. Diagnosis and Prediction 75 90 .
M. C. Jones. (2008) EXPRESSIONS FOR INVERSE MOMENTS OF POSITIVE QUADRATIC FORMS IN NORMAL VARIABLES. Australian Journal of Statistics 28:2, pages 242-250.
Crossref

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.