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Keywords:
asymptotic density; random variable; statistical convergence; statistical convergence in probability; statistical convergence in mean of order $r$; statistical convergence in distribution
asymptotic density; random variable; statistical convergence; statistical convergence in probability; statistical convergence in mean of order $r$; statistical convergence in distribution
Summary:
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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