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1997•Stochastic Analysis and ApplicationsRequires access

A weak law for randomly stopped sums of multidlmensionally indexed random variables

André Adler

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Abstract

Let be a sequence of independent random variables a sequence of constants and T Npositive integer-va.lued random variables. In this article we explore convergence in probability for partial sums indexed by T N i.e., sums of the form

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What this paper is about

Let be a sequence of independent random variables a sequence of constants and T Npositive integer-va.lued random variables. In this article we explore convergence in probability for partial sums indexed by T N i.e., sums of the form

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Available abstract

Let be a sequence of independent random variables a sequence of constants and T Npositive integer-va.lued random variables. In this article we explore convergence in probability for partial sums indexed by T N i.e., sums of the form

Key concepts: Mathematics, Random variable, Sequence (biology), Law of large numbers, Convergence of random variables, Integer (computer science), Random sequence, Combinatorics

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