Applied Mathematics- A Journal of Chinese Universities Series B, Volume (32), No (3), Year (2017-8) , Pages (270-280)

Title : ( On the rate of complete convergence for weighted sums of NSD random variables and an application )

Authors: habib naderi , Mohammad Amini , Abolghasem Bozorgnia ,

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Abstract

In this paper, the complete convergence is established for the weighted sums of negatively superadditive-dependent random variables. As an application, the Marcinkiewicz- Zygmund strong law of large numbers for the random weighted average is also achieved, and a simulation study is done for the asymptotic behaviour of random weighting estimator.

Keywords

, complete convergence, negatively superadditive-dependent, random weighted estimate