Summability approximation theorems of double random variables

Rabia Savaş and Richard F. Patterson

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 24, 8617-8624

Abstract: In 1971, Chow and Teicher presented a probability approximation Theorem via summability methods. The goal of this article is to extend Chow and Teicher results to higher dimension. To achieve this we consider multidimensional totally monotonic and independent identically random variables. Using these notions we present a series of approximation type theorems.

Date: 2022
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DOI: 10.1080/03610926.2021.1901920

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