A note on stochastic ordering of order statistics
Keyword(s):
A necessary and sufficient condition is obtained for a Poisson binomial random variable to be stochastically larger (or smaller) than a binomial random variable. It is then used to deal with the stochastic comparisons of order statistics from heterogeneous populations with those from a homogeneous population. The result has obvious applications in the stochastic comparisons of lifetimes of k-out-of-n systems having independent components.
1997 ◽
Vol 34
(03)
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pp. 785-789
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1972 ◽
Vol 9
(02)
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pp. 457-461
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2006 ◽
Vol 462
(2068)
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pp. 1181-1195
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2006 ◽
Vol 25
(4)
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pp. 511-523
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2017 ◽
1977 ◽
Vol 14
(04)
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pp. 702-716
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