Results 261 to 270 of about 37,511 (289)

Cumulants of multinomial and negative multinomial distributions

Statistics & Probability Letters, 2014
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Withers, Christopher S., Nadarajah, Saralees   +1 more
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Negative multinomial distribution

Annals of the Institute of Statistical Mathematics, 1964
This paper reviews properties of the negative multinomial distribution and some related distributions. On the negative binomial distribution (NBn) much has been wri t ten and the contributions were summarized in two recent survey reports ([3], [9]). In the course of researches on the NBn its multivariate extension has been tried.
Sibuya, Masaaki, Yoshimura, Isao, Shimizu, Ryoichi   +2 more
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Multinomial Distribution and Ascertainment Models

Biometrical Journal, 1985
AbstractIn this paper general ascertainment models are studied relaxing the strong assumption of complete dominance. Probabilitis of ascertaiment for both the complete and incomplete models depending on family size and register size for two types of affected individuals are derived.
Gupta, A. K., Lindle, S. G.
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Multinomial distribution

2012
This article briefly summarizes, for the purpose of easy reference, the definition and main properties of multinomial distributions.
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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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Bounded multinomial distribution

Communications in Statistics - Theory and Methods, 1982
A "bounded" multinomial distribution is introduced.
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Testing equivalence of multinomial distributions

Statistics & Probability Letters, 2016
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Multinomial and Krawtchouk Approximations to the Generalized Multinomial Distribution

Theory of Probability & Its Applications, 2002
Let \(S_n\) be a sum of independent but not identically distributed Bernoulli random vectors \(X_1,\dots,X_n\) in \(R^k\). In this paper, the approximation of \({\mathcal L}(S_n)\) by a multinomial distribution is considered, and error bounds provided in both total variation and \(l_\infty\) norms. The bounds improve on those of \textit{W.-L. Loh} [Ann.
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Polarization Test for the multinomial Distribution

Journal of the American Statistical Association, 1981
Abstract A multinomial distribution with k cells is said to be polarized if the total probability mass of the distribution is essentially concentrated into a fewer number of cells. In this article a criterion is developed for measuring polarization, and a statistical test is given for testing the hypothesis that a multinomial distribution has a given ...
Khursheed Alam, Amitava Mitra
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A characterization of multinomial and negative multinomial distributions

Scandinavian Actuarial Journal, 1974
Abstract The intent of this paper is to show that the independent random vectors x and y have multinomial (negative mUltinomial) distributions with the same parameter vector o, and the other parameters being respectively m and n if and only if the conditional distribution of x given x + y is multivariate hypergeometric (multivariate inverse ...
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