Geodesic
Statistical convergence of a sequence of random variables and limit theorems
Applications of Mathematics, Tome 58 (2013) no. 4, pp. 423-437.

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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.
DOI : 10.1007/s10492-013-0021-7
Classification : 40A35, 40C05, 60Fxx, 60Gxx
Keywords: asymptotic density; random variable; statistical convergence; statistical convergence in probability; statistical convergence in mean of order $r$; statistical convergence in distribution 
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     author = {Ghosal, Sanjoy},
     title = {Statistical convergence of a sequence of random variables and limit theorems},
     journal = {Applications of Mathematics},
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     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0021-7/}
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Ghosal, Sanjoy. Statistical convergence of a sequence of random variables and limit theorems. Applications of Mathematics, Tome 58 (2013) no. 4, pp. 423-437. doi : 10.1007/s10492-013-0021-7. http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0021-7/

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