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Karlin's basic composition theorems and stochastic orderings
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نویسنده
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Khaledi Baha-Eldin
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منبع
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journal of the iranian statistical society - 2014 - دوره : 13 - شماره : 2 - صفحه:177 -186
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چکیده
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Suppose λ,x,ζ traverse the ordered sets λ,x and z,respectively and consider the functions f(λ,x,ζ) and g(λ,ζ) satisfying the following conditions,(a) f(λ,x,ζ) > 0 and f is tp2 in each pairs of variables when the third variable is held fixed; and (b) g(λ,ζ) is tp2. then the function [display equation],defined on λ × x is tp2 in (λ,x). the aim of this note is to use a new stochastic ordering argument to prove the above result and simplify it's proof given by karlin (1968). we also prove some other new versions of this result.
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کلیدواژه
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Likelihood ratio ordering and totally positive functions; Usual stochastic ordering
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آدرس
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razi university, department of statistics, ایران
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Authors
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