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

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

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 
@article{10_1007_s10492_013_0021_7,
     author = {Ghosal, Sanjoy},
     title = {Statistical convergence of a sequence of random variables and limit theorems},
     journal = {Applications of Mathematics},
     pages = {423--437},
     publisher = {mathdoc},
     volume = {58},
     number = {4},
     year = {2013},
     doi = {10.1007/s10492-013-0021-7},
     mrnumber = {3083522},
     zbl = {06221239},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0021-7/}
}
TY  - JOUR
AU  - Ghosal, Sanjoy
TI  - Statistical convergence of a sequence of random variables and limit theorems
JO  - Applications of Mathematics
PY  - 2013
SP  - 423
EP  - 437
VL  - 58
IS  - 4
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0021-7/
DO  - 10.1007/s10492-013-0021-7
LA  - en
ID  - 10_1007_s10492_013_0021_7
ER  - 
%0 Journal Article
%A Ghosal, Sanjoy
%T Statistical convergence of a sequence of random variables and limit theorems
%J Applications of Mathematics
%D 2013
%P 423-437
%V 58
%N 4
%I mathdoc
%U http://geodesic.mathdoc.fr/articles/10.1007/s10492-013-0021-7/
%R 10.1007/s10492-013-0021-7
%G en
%F 10_1007_s10492_013_0021_7
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

Cité par Sources :