On the Convolution of Heterogeneous Bernoulli Random Variables Journal Articles

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).

authors

• Xu, Maochao
• Balakrishnan, Narayanaswamy

status

• published 

publication date

• September 2011

has subject area

• 0102 Applied Mathematics (FoR)
• 0104 Statistics (FoR)
• Statistics & Probability (Science Metrix)

published in

• Journal of Applied Probability  Journal

keywords

• Bernoulli
• INDEPENDENT TRIALS
• Mathematics
• NUMBER
• ORDERING PROPERTIES
• Physical Sciences
• SUCCESSES
• Science & Technology
• Statistics & Probability
• heterogeneous variable
• likelihood ratio order
• majorization
• reversed hazard rate order

Digital Object Identifier (DOI)

• 10.1239/jap/1316796922

start page

• 877

end page

• 884

volume

• 48

issue

• 3