On Calculations Involving the Maximum Cell Frequency

DOI10.1080/03610928308828532zbMath0523.62018OpenAlexW2045464867MaRDI QIDQ3673851

Bruce R. Levin

Publication date: 1983

Published in: Communications in Statistics - Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03610928308828532

zbMATH Keywords

conditional distributionscategorical datamultinomialcumulative distributionnon-recursivecompound distributionssequential selection proceduresspike detectionmaximum cell frequency distributionminimum cell frequenciesmultiple hypergeometric

Mathematics Subject Classification ID

Exact distribution theory in statistics (62E15)

Related Items

Gamma-distribution order statistics, maximal multinomial frequency and randomization de\-signs, The exact distribution of the maximum, minimum and the range of multinomial/Dirichlet and multivariate hypergeometric frequencies, Efficient time/space algorithm to compute rectangular probabilities of multinomial, multivariate hypergeometric and multivariate Pólya distributions, On the asymptotic distribution of the multinomial maximum with an increasing number of classes, Representations, bounds and approximations for tail probabilites of multivariate non-central hypergeometric and negative hypergeometric distributions

Uses Software

• AS 145

Cites Work

• A representation for multinomial cumulative distribution functions
• Approximate Upper Percentage Points for Extreme Values in Multinomial Sampling
• Saddle-point Methods for the Multinomial Distribution
• Some applications of two approximations to the multinomial distribution
• Combinatorial extreme value distributions
• Logistic regression analysis of epidemiologic data: theory and practice
• Algorithm AS 145: Exact Distribution of the Largest Multinomial Frequency
• Selecting the highest probability in binomial or multinomial trials
• Integral expressions for tail probabilities of the multinomial and negative multinomial distributions
• An inequality involving multinomial probabilities
• Distribution of Maximum and Minimum Frequencies in a Sample Drawn from a Multinomial Distribution
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