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Repeated games and multinomial distributions

ZOR Zeitschrift f�r Operations Research Mathematical Methods of Operations Research, 1995
Summary: We consider two-person zero-sum games with lack of information on one side given by \(m\) matrices of dimension \(m\times m\). We suppose the matrices to have the following ``symmetric'' structure: \(a^s_{ij}= a_{ij}+ c\delta^s_i\), \(c> 0\), where \(\delta^s_i= 1\) if \(i= s\) and \(\delta^s_i= 0\) otherwise.
Victor K. Domansky, Victoria L. Kreps
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Multinomial Distribution and Ascertainment by Sex

Biometrical Journal, 1982
AbstractNew ascertainment models taking into account partitioning by sex and without any constraint concerning dominance of alleles are proposed. These originate beginning from two major pathways. The first pathway assumes independence and that the family sizes for both males and females are known.
Gupta, A. K., Lindle, S. G.
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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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The Multinomial Distribution

1983
A discrete random variable X takes values i = 1, 2,...,k with probabilities {p i , i = 1, 2,...,k}. A sample of size n from X gives the value X = i n i times. The multivariate distribution {n i , i = 1,..., k} is multinomial with parameters n, {p i , i = 1,..., k}. It is ubiquitous in problems dealing with discrete data.
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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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On the poisson approximation to the multinomial distribution

Canadian Journal of Statistics, 1980
Abstract Let X i be the number of outcomes in class C i , i = 0,…,
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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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Bounds on the entropy of multinomial distribution

2015 IEEE International Symposium on Information Theory (ISIT), 2015
The purpose of this study is to derive an upper-bound and a lower-bound of the entropy of a multinomial distribution. In spite of its practicality and versatility, there is no closed-form formula of the entropy of the multinomial distribution. Cichon derived an asymptotic formula that approximates the entropy, but the approximation is not very useful ...
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Bayesian analysis of finite mixtures of multinomial and negative-multinomial distributions

Computational Statistics & Data Analysis, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
María Jesús Rufo   +2 more
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