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2014•Journal of Hefei University of TechnologyRequires access

Almost sure convergence of weighted sums of END random variable sequences

Xi Deng

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Abstract

This paper deals with the almost sure convergence of weighted sums of identically distributed extended negatively dependent(END)random variables under the conditions of moments and weight coefficients.The corresponding result under the condition of stochastic domination is also obtained.The result obtained in the paper extends the corresponding one of independent random variable sequence and negatively dependent random variable sequence.

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What this paper is about

This paper deals with the almost sure convergence of weighted sums of identically distributed extended negatively dependent(END)random variables under the conditions of moments and weight coefficients.The corresponding result under the condition of stochastic domination is also obtained.The result obtained in the paper extends the corresponding one of independent random variable sequence and negatively dependent random variable sequence.

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Available abstract

This paper deals with the almost sure convergence of weighted sums of identically distributed extended negatively dependent(END)random variables under the conditions of moments and weight coefficients.The corresponding result under the condition of stochastic domination is also obtained.The result obtained in the paper extends the corresponding one of independent random variable sequence and negatively dependent random variable sequence.

Key concepts: Independent and identically distributed random variables, Mathematics, Random variable, Sequence (biology), Convergence (economics), Convergence of random variables, Variable (mathematics), Combinatorics

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