Results 291 to 300 of about 121,868 (329)

ON DIRICHLET MULTINOMIAL DISTRIBUTIONS

Random Walk, Sequential Analysis and Related Topics, 2006
Dedicated to Professor Y. S. Chow on the Occasion of his 80th Birthday By Robert W. Keener and Wei Biao Wu Abstract Let Y have a symmetric Dirichlet multinomial distributions in R, and let Sm = h(Y1)+· · ·+h(Ym). We derive a central limit theorem for Sm as the sample size n and the number of cells m tend to infinity at the same rate.
ROBERT W. KEENER, WEI BIAO WU
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Distribution of Dirichlet l-functions

Lithuanian Mathematical Journal, 1976
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DIRICHLET DISTRIBUTION AND ESTIMATION OF PARAMETERS

Advances and Applications in Statistics, 2018
Summary: In this study, Dirichlet distribution, its history and usage areas are examined. Then, its characteristics are calculated and it is aimed to estimate parameters. To our knowledge, there is little research into parameter estimations that have been made for different sample sizes using the maximum likelihood method.
Demirel, Ahmet Fatih, Çelik, H. Eray
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Value Distribution of General Dirichlet Series. V

Lithuanian Mathematical Journal, 2004
Let \(s\) be a complex variable; then the series \(f_j(s)=\sum_{m=1}^\infty a_{mj}\exp(-s\lambda_m)\) is called a general Dirichlet series. In the present paper, the authors prove a joint universality theorem (in the sense of Voronin) for a family of general Dirichlet series \(f_j(s)\) subject to certain, mostly natural, conditions on the arithmetic of
Genys, J., Laurinčikas, A.
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The Poisson–Dirichlet Distribution

2010
The focus of this chapter is the Poisson–Dirichlet distribution, the central topic of this book. We introduce this distribution and discuss various models that give rise to it. Following Kingman (J. Roy. Statist. Soc. B 37:1–22, 1975), the distribution is constructed through the gamma process. An alternative construction in (R. Arratia, A.D.
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On the Distribution of Dirichlet Sums

Journal d Analyse Mathematique, 1993
Assuming \(| t_ r|\leq T\), \(| t_ r-t_ s|\geq 1\) and ...
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The Poisson-Dirichlet distribution

1992
Abstract The parameters α j may take any strictly positive values, and the character of the distribution changes markedly as these vary. If α j = 1 for all j we have the uniform distribution on Δ n If the α j = are large, (9.3) concentrates probability well away from the boundaries of Δ n, corresponding to distributions p which are ...
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The Dirichlet Distribution and Process through Neutralities

Journal of Theoretical Probability, 2007
Some new characterizations are given for the Dirichlet distribution and Dirichlet process in terms of neutrality and neutrality to the right, e.g., Theorem 8: if \((F(t))_{t\in\mathbb R}\) is a stochastic process such that its trajectories are a.s. CDFs, \(( F(t))_{t\in\mathbb R}\) is neutral to the right and \(1-F(t_n)\) is neutral in \((F(t_1), F(t_2)
Bobecka, Konstancja, Wesołowski, Jacek
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Inverted dirichlet distribution and multivariate logistic distribution

Canadian Journal of Statistics, 1974
AbstractIn this paper we derive a k‐variate inverted Dirichlet distribution, D ('v1,v2, ···, vk; vk+1) by a theorem related to k+1 independent random variables having gamma distributions with different parameters v1,v2, ···, vk+1 but with the same scale parameter, say 1. A number of results for a k‐variate inverted Dirichlet distribution are proved and
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Donkey walk and Dirichlet distributions

Statistics & Probability Letters, 2002
This paper deals with the computation of the stationary distribution associated to a Markov chain on a tetrahedron with Dirichlet-type entries. This refines a result of \textit{J. Stoyanov} and \textit{C. Pirinsky} [Stat. Probab. Lett. 50, No. 3, 293-304 (2000; Zbl 0964.60072)].
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