Products of Independent Beta Variables with Applications to Connor and Mosimann's Generalized Dirichlet Distribution

1972 ◽  
Vol 67 (340) ◽  
pp. 910 ◽  
Author(s):  
Ian R. James
Keyword(s):  
Dirichlet Distribution ◽  
Generalized Dirichlet Distribution ◽  
Generalized Dirichlet

scholarly journals A fractional generalization of the dirichlet distribution and related distributions

2021 ◽  
Vol 24 (1) ◽  
pp. 112-136
Author(s):  
Elvira Di Nardo ◽  
Federico Polito ◽  
Enrico Scalas
Keyword(s):  
Monte Carlo ◽  
Probability Density Function ◽  
Monte Carlo Simulations ◽  
Probability Density ◽  
Dirichlet Distribution ◽  
One Dimensional ◽  
Reasonable Approximation ◽  
Generalized Dirichlet Distribution ◽  
The One ◽  
Generalized Dirichlet

Abstract This paper is devoted to a fractional generalization of the Dirichlet distribution. The form of the multivariate distribution is derived assuming that the n partitions of the interval [0, Wn ] are independent and identically distributed random variables following the generalized Mittag-Leffler distribution. The expected value and variance of the one-dimensional marginal are derived as well as the form of its probability density function. A related generalized Dirichlet distribution is studied that provides a reasonable approximation for some values of the parameters. The relation between this distribution and other generalizations of the Dirichlet distribution is discussed. Monte Carlo simulations of the one-dimensional marginals for both distributions are presented.

scholarly journals Greedy feature selection for glycan chromatography data with the generalized Dirichlet distribution

2013 ◽  
Vol 14 (1) ◽  
Author(s):  
Marie C Galligan ◽  
Radka Saldova ◽  
Matthew P Campbell ◽  
Pauline M Rudd ◽  
Thomas B Murphy
Keyword(s):  
Feature Selection ◽  
Dirichlet Distribution ◽  
Generalized Dirichlet Distribution ◽  
Selection For ◽  
Generalized Dirichlet

scholarly journals A stochastic diffusion process for Lochner's generalized Dirichlet distribution

2013 ◽  
Vol 54 (10) ◽  
pp. 102701 ◽  
Author(s):  
J. Bakosi ◽  
J. R. Ristorcelli
Keyword(s):  
Diffusion Process ◽  
Dirichlet Distribution ◽  
Stochastic Diffusion ◽  
Generalized Dirichlet Distribution ◽  
Generalized Dirichlet

A Generalized Dirichlet Distribution Accounting for Singularities of the Variables

Biometrics ◽  
1996 ◽  
Vol 52 (4) ◽  
pp. 1394 ◽  
Author(s):  
Peter Lewy
Keyword(s):  
Dirichlet Distribution ◽  
Generalized Dirichlet Distribution ◽  
Generalized Dirichlet

A COMPREHENSIVC GENERALIZED MEAN VALUE BASED ON THE DIRICHLET DISTRIBUTION

1985 ◽  
Vol 8 (4) ◽  
pp. 343-360
Author(s):  
James M. Dickey
Keyword(s):  
Dirichlet Distribution ◽  
Mean Value ◽  
Generalized Mean
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