Compound multinomial likelihood functions are unimodal: Proof of a conjecture of I. J. Good

DOI10.1214/aos/1176343741zbMath0382.62028OpenAlexW2055622370WikidataQ122948243 ScholiaQ122948243MaRDI QIDQ1247695

Bruce R. Levin, James A. Reeds

Publication date: 1977

Published in: The Annals of Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1214/aos/1176343741

Mathematics Subject Classification ID

Point estimation (62F10) Bayesian inference (62F15) Convolution as an integral transform (44A35) Laplace transform (44A10)

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Note on the singularity of the Poisson-gamma model ⋮ Le problème d'Anscombe pour les lois binomiales négatives généralisées ⋮ Pseudo maximum likelihood estimation for the dirichlet-multinomial distribution ⋮ Estimation problems for the two-parameter negative binomial distribution ⋮ On the existence of maximum likelihood estimators in Poisson-gamma HGLM and negative binomial regression model ⋮ Estimation for the negative binomial distribution based on the conditional likelihood ⋮ Maximum‐likelihood estimation for the removal method ⋮ Estimating the shape parameter for the negative binomial distribution ⋮ On computing maximum likelihood estimates for the negative binomial distribution ⋮ Interval estimation for the intraclass correlation in Dirichlet-multinomial data ⋮ On maximum likelihood estimation of the binomial parameter n ⋮ Simultaneous confidence intervals for a success probability and intraclass correlation, with an application to screening mammography

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