On the Convolution of Heterogeneous Bernoulli Random Variables
2011 ◽
Vol 48
(3)
◽
pp. 877-884
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Keyword(s):
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).
2011 ◽
Vol 48
(03)
◽
pp. 877-884
◽
2012 ◽
Vol 26
(2)
◽
pp. 159-182
◽
2011 ◽
Vol 25
(3)
◽
pp. 369-391
◽
2013 ◽
Vol 28
(1)
◽
pp. 39-53
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2012 ◽
Vol 26
(3)
◽
pp. 375-391
◽
2019 ◽
pp. 1-24
2008 ◽
Vol 23
(1)
◽
pp. 17-29
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2018 ◽
Vol 33
(3)
◽
pp. 460-470
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Keyword(s):
2021 ◽
Vol ahead-of-print
(ahead-of-print)
◽
2016 ◽
Vol 30
(4)
◽
pp. 622-639
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