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The discount version of large deviations for a randomly indexed sum of random variables

In this paper, we consider a compound random variable Z = \sum^N_{j=1} vjXj , where 0 < v < 1, Z = 0, if N = 0. It is assumed that independent identically distributed random variables X1,X2, . . . with mean EX = μ and variance DX =σ2 > 0 are independent of a non-negative integer-valued random variab...

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Autori principali: Aurelija Kasparavičiūtė, Leonas Saulis
Natura: Artigo
Lingua:Inglês
Pubblicazione: Vilnius University Press 2011-12-01
Serie:Lietuvos Matematikos Rinkinys
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Accesso online:https://www.journals.vu.lt/LMR/article/view/15504
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