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Statistical convergence of a sequence of random variables and limit theorems

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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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  1. Faculty of Science, Department of Mathematics, Kalyani Government Engineering College, Kalyani, Nadia, 741235, West Bengal, India

    Sanjoy Ghosal

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  1. Sanjoy Ghosal
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Correspondence to Sanjoy Ghosal.

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Ghosal, S. Statistical convergence of a sequence of random variables and limit theorems. Appl Math 58, 423–437 (2013). https://doi.org/10.1007/s10492-013-0021-7

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  • DOI: https://doi.org/10.1007/s10492-013-0021-7

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