On selecting the most likely event
type: Item
instance of: scholarly article
title: On selecting the most likely event
zbMATH Open document ID: 0646.62020
DOI: 10.1016/0378-3758(87)90115-7
author: Subir Kumar Bhandari
author: Arup Bose
published in: Journal of Statistical Planning and Inference
publication date: 1987-01-01T00:00:00Z
review text: In a multinomial population, when the procedure for selecting the most likely event is to choose the cell with maximum observation (ties broken by randomisation), the least favourable configuration is derived under certain restrictions on the probability vector. The results in particular disprove a conjecture of \textit{A. W. Marshall} and \textit{I. Olkin} [Inequalities: theory of majorization and its applications. (1979; Zbl 0437.26007)] and provide partial answers to all the four conjectures of \textit{R. W. Chen} and \textit{F. K. Hwang}, Commun. Stat., Theory Methods 13, 1289-1298 (1984; Zbl 0556.62017).
reviewed by: Kôichi Inada
Mathematics Subject Classification ID: 62F07
Mathematics Subject Classification ID: 62C99
Mathematics Subject Classification ID: 62H30
zbMATH DE Number: 4054798
zbMATH Keywords: Schur concavity
zbMATH Keywords: multinomial population
zbMATH Keywords: selecting the most likely event
zbMATH Keywords: cell with maximum observation
zbMATH Keywords: least favourable configuration
MaRDI profile type: Publication
full work available at URL: 0378-3758(87)90115-7
OpenAlex ID: W1974431502
cites work: A Single-Sample Multiple-Decision Procedure for Selecting the Multinomial Event Which Has the Highest Probability
cites work: Some theorems, counterexamples, and conjectures in multinomial selection theory
cites work: A Property of the Multinomial Distribution
cites work: Inequalities: theory of majorization and its applications
description: scientific article; zbMATH DE number 4054798