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.
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},
     pages = {423--437},
     year = {2013},
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     zbl = {06221239},
     language = {en},
     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

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