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λ-Statistical Convergence of a Sequence of Random Variables in Probability


Affiliations
1 Department of Mathematics, Kalyani Government Engineering College, Kalyani, Nadia-741235, West Bengal, India
     

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In this paper the ideas of two types of convergences of a sequence of random variables, namely, λ -statistical convergence in probability and λ - statistical convergence in mean of order r are introduced and the interrelationship between them is investigated. Also their certain basic properties are studied.

Keywords

Random Variable, Probability, λ-Statistical Convergence in Probability, λ-Statistical Convergence in Mean of Order.
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  • λ-Statistical Convergence of a Sequence of Random Variables in Probability

Abstract Views: 471  |  PDF Views: 0

Authors

Sanjoy Ghosal
Department of Mathematics, Kalyani Government Engineering College, Kalyani, Nadia-741235, West Bengal, India

Abstract


In this paper the ideas of two types of convergences of a sequence of random variables, namely, λ -statistical convergence in probability and λ - statistical convergence in mean of order r are introduced and the interrelationship between them is investigated. Also their certain basic properties are studied.

Keywords


Random Variable, Probability, λ-Statistical Convergence in Probability, λ-Statistical Convergence in Mean of Order.