On the Convolution of Heterogeneous Bernoulli Random Variables-Reference-Cited by-同舟云学术

On the Convolution of Heterogeneous Bernoulli Random Variables

Published:2011-09 Issue:3 Volume:48 Page:877-884
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Xu Maochao,Balakrishnan N.

Abstract

In this paper, some ordering properties of convolutions of heterogeneous Bernoulli random variables are discussed. It is shown that, under some suitable conditions, the likelihood ratio order and the reversed hazard rate order hold between convolutions of two heterogeneous Bernoulli sequences. The results established here extend and strengthen the previous results of Pledger and Proschan (1971) and Boland, Singh and Cukic (2002).

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference20 articles.

1. ORDERING CONVOLUTIONS OF HETEROGENEOUS EXPONENTIAL AND GEOMETRIC DISTRIBUTIONS REVISITED

2. Convex orders for linear combinations of random variables

3. On the Distribution of the Number of Successes in Independent Trials

4. Stochastic Comparisons of Bernoulli Sums and Binomial Random Variables

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