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   Karlin's basic composition theorems and stochastic orderings  
   
نویسنده Khaledi Baha-Eldin
منبع journal of the iranian statistical society - 2014 - دوره : 13 - شماره : 2 - صفحه:177 -186
چکیده    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.
کلیدواژه Likelihood ratio ordering and totally positive functions; Usual stochastic ordering
آدرس razi university, department of statistics, ایران
 
     
   
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