On integrals of dirichlet distributions and their applications

1981 ◽  
Vol 10 (9) ◽  
pp. 897-906 ◽  
Author(s):  
Hedayat Yassaee
Keyword(s):  
Dirichlet Distributions

Variational Learning of the Mixture of Shifted-Scaled Dirichlet Distributions via Entropy Splitting

2021 ◽  
Author(s):  
Ahmed Rebei ◽  
Oumayma Dalhoumi ◽  
Narges Manouchehri ◽  
Ali Baghdadi ◽  
Manar Amayri ◽  
...  
Keyword(s):  
Dirichlet Distributions ◽  
Variational Learning

scholarly journals Scale mixtures of Kotz–Dirichlet distributions

2013 ◽  
Vol 113 ◽  
pp. 48-58 ◽  
Author(s):  
N. Balakrishnan ◽  
E. Hashorva
Keyword(s):  
Scale Mixtures ◽  
Dirichlet Distributions

scholarly journals Mixtures of Dirichlet Distributions and Estimation in Contingency Tables

1982 ◽  
Vol 10 (4) ◽  
pp. 1261-1268 ◽  
Author(s):  
James H. Albert ◽  
Arjun K. Gupta
Keyword(s):  
Contingency Tables ◽  
Dirichlet Distributions

scholarly journals Saddlepoint Approximation for Data in Simplices: A Review with New Applications

Stats ◽  
2019 ◽  
Vol 2 (1) ◽  
pp. 121-147
Author(s):  
Riccardo Gatto
Keyword(s):  
Random Variables ◽  
Saddlepoint Approximation ◽  
Sample Space ◽  
Circular Data ◽  
Mathematical Framework ◽  
Urn Model ◽  
Dirichlet Distributions ◽  
The Common ◽  
Novel Applications ◽  
New Applications

This article provides a review of the saddlepoint approximation for a M-statistic of a sample of nonnegative random variables with fixed sum. The sample vector follows the multinomial, the multivariate hypergeometric, the multivariate Polya or the Dirichlet distributions. The main objective is to provide a complete presentation in terms of a single and unambiguous notation of the common mathematical framework of these four situations: the simplex sample space and the underlying general urn model. Some important applications are reviewed and special attention is given to recent applications to models of circular data. Some novel applications are developed and studied numerically.

On the Dirichlet distributions on symmetric matrices

2009 ◽  
Vol 139 (8) ◽  
pp. 2559-2570 ◽  
Author(s):  
Mohamed Ben Farah ◽  
Abdelhamid Hassairi
Keyword(s):  
Symmetric Matrices ◽  
Dirichlet Distributions
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