On a characterization of orthogonality with respect to particular sequences of random variables in $L^2$

Umberto Triacca; Andrei Volodin

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Displaying similar documents to “On a characterization of orthogonality with respect to particular sequences of random variables in $L^{2}$ ”

Statistical convergence of a sequence of random variables and limit theorems

Sanjoy Ghosal (2013)

Applications of Mathematics

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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.