Statistical convergence of order $\alpha$ in probability

Pratulananda Das; Sanjoy Ghosal; Sumit Som

doi:10.1016/j.ajmsc.2014.06.002

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arXiv · 1605.05555

Statistical convergence of order $\alpha$ in probability

Pratulananda Das·Sanjoy Ghosal·Sumit Som

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Abstract

In this paper ideas of different types of convergence of a sequence of random variables in probability, namely, statistical convergence of order $\alpha$ in probability, strong $p$-Ces$\grave{\mbox{a}}$ro summability of order $\alpha$ in probability, lacunary statistical convergence or $S_{\theta}$-convergence of order $\alpha$ in probability, ${N_{\theta}}$-convergence of order $\alpha$ in probability have been introduced and their certain basic properties have been studied.

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BibTeX RIS

Pratulananda Das, Sanjoy Ghosal, Sumit Som. 2016-05-18. Statistical convergence of order $\alpha$ in probability. https://doi.org/10.1016/j.ajmsc.2014.06.002

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