A New Proof for Monotone Likelihood Ratio for the Sum of Independent Bernoulli Random Variables
Huynh Huynh · Psychometrika · 1994
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.