EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHÉMATIQUE (BEOGRAD) (N.S.)
Vol. 47(61), pp. 141--150 (1990)

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RANDOM SUM LIMIT THEOREMS FOR NONIDENTICALLY DISTRIBUTED RANDOM VARIABLES

Slobodanka Jankovi\'c

Matematicki institut SANU, Beograd, Yugoslavia

Abstract: Two limit theorems for sums with random indices are proved, one related to triangular arrays, the other to normed sums. No conditions concerning moments are imposed.

Keywords: Triangular array, normed sums, u.a.n.\ condition, infinitely divisible distributions, stochastic boundedness, regularly varying sequence

Classification (MSC2000): 60F05

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Electronic fulltext finalized on: 2 Nov 2001. This page was last modified: 16 Nov 2001.

© 2001 Mathematical Institute of the Serbian Academy of Science and Arts
© 2001 ELibM for the EMIS Electronic Edition