AU - Khaledi, Baha-Eldin
TI - Karlin’s Basic Composition Theorems and Stochastic Orderings
PT - JOURNAL ARTICLE
TA - JIRSS
JN - JIRSS
VO - 13
VI - 2
IP - 2
4099 - http://jirss.irstat.ir/article-1-293-fa.html
4100 - http://jirss.irstat.ir/article-1-293-fa.pdf
SO - JIRSS 2
AB - 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 h(λ,x) =∫Z f(λ,x,ζ)g(λ,ζ)dµ(ζ), 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.
CP - IRAN
IN -
LG - eng
PB - JIRSS
PG - 177
PT -
YR - 2014