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2019•Journal of Mathematical InequalitiesOpen access

Complete moment convergence for weighted sums of extended negatively dependent random variables

Mei ei Ge, Xin Deng

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Abstract

In this paper, some results on complete moment convergence for weighted sums of extended negatively dependent (END, for short) random variables are established. The results extend and improve the result of Baum and Katz (1965) from complete convergence for nonweighted sums of independent random variables to the case of weighted sums of END random variables under mild conditions.

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In this paper, some results on complete moment convergence for weighted sums of extended negatively dependent (END, for short) random variables are established. The results extend and improve the result of Baum and Katz (1965) from complete convergence for nonweighted sums of independent random variables to the case of weighted sums of END random variables under mild conditions.

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Available abstract

In this paper, some results on complete moment convergence for weighted sums of extended negatively dependent (END, for short) random variables are established. The results extend and improve the result of Baum and Katz (1965) from complete convergence for nonweighted sums of independent random variables to the case of weighted sums of END random variables under mild conditions.

Key concepts: Mathematics, Moment (physics), Convergence (economics), Random variable, Proofs of convergence of random variables, Convergence of random variables, Sum of normally distributed random variables, Variables

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