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A New Proof for Monotone Likelihood Ratio for the Sum of Independent Bernoulli Random Variables

Published online by Cambridge University Press:  01 January 2025

Huynh Huynh
Huynh Huynh*
Affiliation:
University of South Carolina
*
Requests for reprints should be addressed to Huynh Huynh, College of Education, University of South Carolina, Columbia, SC 29208.
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Abstract

By use of an inequality of Marcus and Lopes for elementary symmetric functions, a new proof is presented for the following result by Ghurye and Wallace: Given that the independent random variables Xj are Bernoulli with success probability pj (θ) strictly between 0 and 1 and nondecreasing in θ, the sum ΣXj has monotone likelihood ratio.

Keywords

Bernoullibinary random variableselementary symmetric functionsmonotone likelihood ratio
Type
Original Paper
Information
Psychometrika , Volume 59 , Issue 1 , March 1994 , pp. 77 - 79
Copyright
Copyright © 1994 The Psychometric Society

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