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Theorems on large deviations for the sum of random number of summands

In this paper, we present the rate of convergence of normal approximation and the theorem on large deviations for a compound process Zt = \sumNt i=1 t aiXi, where Z0 = 0 and ai > 0, of weighted independent identically distributed random variables Xi, i = 1, 2, . . . with  mean EXi = µ and variance D...

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Xehetasun bibliografikoak
Egile Nagusiak: Aurelija Kasparavičiūtė, Leonas Saulis
Formatua: Artigo
Hizkuntza:Inglês
Argitaratua: Vilnius University Press 2010-12-01
Saila:Lietuvos Matematikos Rinkinys
Gaiak:
Sarrera elektronikoa:https://www.journals.vu.lt/LMR/article/view/17872
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