Thai Journal of Mathematics, Volume 2020, Issue Special Issue, Pages 177-190 , 01/01/2020

Limit distribution functions for sums of the reciprocals of a power of tangent of random variables

Kittipong Laipaporn, Kanokwan Burimas, Petcharat Rattanawong

Abstract

Let (Formula Presented) and (X<inf>n</inf>) be a sequence of independent continuous random variables such that (Formula Presented). This paper provides the sufficient conditions guaranteeing the existence of real constants (A<inf>n</inf>), (A<inf>n</inf>(r)) and (B<inf>n</inf>(r)) such that the sequences of the distribution functions of (Formula Presented) converge.

Document Type

Article

Source Type

Journal

Keywords

Central limit theoremInfinitely divisible random variablesLevy’s representation

ASJC Subject Area

Mathematics : Mathematics (all)

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Laipaporn, K., Burimas, K., & Rattanawong, P. (2020). Limit distribution functions for sums of the reciprocals of a power of tangent of random variables. Thai Journal of Mathematics, 2020(Special Issue) 177-190.

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