On selecting the largest success probability under unequal sample sizes

DOI10.1016/0378-3758(89)90018-9zbMath0666.62024OpenAlexW2078615725MaRDI QIDQ1116578

Mansour M. Abughalous, Klaus J. Miescke

Publication date: 1989

Published in: Journal of Statistical Planning and Inference (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0378-3758(89)90018-9

zbMATH Keywords

minimaxitypriorsindependent binomial populationsBayes selection rulesindependent beta-priorslinear lossmonotone, permutation invariant lossproperties of Bayes rulesranking Bernoulli trials with unequal sample sizeszero-one loss

Mathematics Subject Classification ID

Bayesian inference (62F15) Statistical ranking and selection procedures (62F07)

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On selecting the best treatment in a generalized linear model ⋮ Bayesian look ahead one stage sampling allocations for selecting the largest normal mean ⋮ On the natural selection rule in general linear models ⋮ On selecting the best natural exponential families with quadratic variance function ⋮ Estimation after selection from exponential populations with unequal scale parameters ⋮ On the minimax decision rules in ranking problems ⋮ Bayesian look ahead one-stage sampling allocations for selection of the best population ⋮ On estimating the location parameter of the selected exponential population under the LINEX loss function ⋮ On the problem of selecting the best population in life testing models ⋮ Selecting the best of two gamma populations having unequal shape parameters ⋮ On combining selection and estimation in the search for the largest binomial parameter ⋮ Selecting the Best Exponential Population When the Scale Parameters are Bounded ⋮ Selecting The Exponential Population Having The Larger Guarantee Time With Unequal Sample Sizes ⋮ Selecting the best binomial population: Parametric empirical Bayes approach ⋮ Unnamed Item ⋮ On ranking treatment effects in a general linear model

Cites Work

• Sequential selection procedures. A decision theoretic approach
• Statistical decision theory and Bayesian analysis. 2nd ed
• Functions decreasing in transposition and their applications in ranking problems
• A Bayesian Approach to Ranking and Selection of Related Means With Alternatives to Analysis-of-Variance Methodology
• On comparing binomial probabilities from a bayesian viewpoint
• On the behaviour of the probability function for selecting the best normal population
• Selection and Ranking Procedures–Some Personal Reminiscences, and Thoughts about its Past, Present, and Future
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