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1. Lower limits and upper limits for tails of random sums supported on

Author

Yu, Changjun, Wang, Yuebao, and Cui, Zhaolei

Subjects
*LIMIT theorems, *STOCHASTIC processes, *RANDOM variables, *DISTRIBUTION (Probability theory), *MATHEMATICAL statistics
Abstract

Abstract: Based on , and , we study the lower limits and upper limits of the quotients of tails as , where is a non-negative integer-valued random variable and is a distribution supported on . Some of the new results, which are different from the corresponding results of , give a positive answer to Problem 2 of under certain conditions. In addition, we give some corresponding results for the local versions and density versions. [Copyright &y& Elsevier]

Published
2010
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