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Multinomial Distribution and Ascertainment by Sex
Biometrical Journal, 1982AbstractNew 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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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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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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Repeated games and multinomial distributions
ZOR Zeitschrift f�r Operations Research Mathematical Methods of Operations Research, 1995Summary: 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.
Domansky, Victor, Kreps, Victoria
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Applications of the Multinomial Distribution
1987A discrete random variable (X1,…,Xm) is multinomially distributed if its point probabilities are $$f\left( {x_1 , \ldots ,x_m } \right) = (\begin{array}{*{20}c} n \\ {x_1 , \ldots ,x_m } \\ \end{array} )P_1 ^{x_1 } \ldots P_m ^{x_m }$$ where x1+…+xm=n and p1+…+pm=1.Conditions for (X1,…,Xm) to be multiomially distributed were given in sections 6 ...
Erling B. Andersen +2 more
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Multinomial distributions in ploidy analysis.
Analytical and quantitative cytology and histology, 1985Ploidy patterns can be summarized in the form of a vector of proportions representing the frequency of occurrence of DNA contents in specified intervals. Data represented in this way can be analyzed statistically using the multinomial distribution. Properties of the multinomial distribution and computational difficulties that arise in its application ...
J E, Weber, T, Nielsen
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