Statistical convergence of a sequence of random variables and limit theorems |
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| Authors: | Sanjoy Ghosal |
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| Affiliation: | 1. Faculty of Science, Department of Mathematics, Kalyani Government Engineering College, Kalyani, Nadia, 741235, West Bengal, India
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| Abstract: | In this paper the ideas of three types of statistical convergence of a sequence of random variables, namely, statistical convergence in probability, statistical convergence in mean of order r and statistical convergence in distribution are introduced and the interrelation among them is investigated. Also their certain basic properties are studied. |
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