Estimates from below for characteristic functions of probability laws
Let $varphi$ be the characteristic function of a probabilitylaw F that is analytic in $mathbb{D}_{R}={zcolon |z|<R},$ $0<Rleq+infty,$ $M(r,varphi)=maxleft{|varphi(z)|colon|z|=r<Right}$ and $W_{F}(x)=1-F(x)+F(-x),$ $xgeq 0.$ Aconnection between the growth of $M(r,varphi)$ and thedecrease it...
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Main Authors: | M. I. Parolya, M. M. Sheremeta |
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Format: | Article |
Language: | German |
Published: |
Ivan Franko National University of Lviv
2013-04-01
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Series: | Математичні Студії |
Subjects: | |
Online Access: | http://matstud.org.ua/texts/2013/39_1/54-66.pdf |
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