Statistical convergence of a sequence of random variables and limit theorems

Sanjoy Ghosal

Applications of Mathematics (2013)

  • Volume: 58, Issue: 4, page 423-437
  • ISSN: 0862-7940

Abstract

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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.

How to cite

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Ghosal, Sanjoy. "Statistical convergence of a sequence of random variables and limit theorems." Applications of Mathematics 58.4 (2013): 423-437. <http://eudml.org/doc/260667>.

@article{Ghosal2013,
abstract = {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.},
author = {Ghosal, Sanjoy},
journal = {Applications of Mathematics},
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 mean of order ; statistical convergence in distribution},
language = {eng},
number = {4},
pages = {423-437},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Statistical convergence of a sequence of random variables and limit theorems},
url = {http://eudml.org/doc/260667},
volume = {58},
year = {2013},
}

TY - JOUR
AU - Ghosal, Sanjoy
TI - Statistical convergence of a sequence of random variables and limit theorems
JO - Applications of Mathematics
PY - 2013
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 58
IS - 4
SP - 423
EP - 437
AB - 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.
LA - eng
KW - 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 mean of order ; statistical convergence in distribution
UR - http://eudml.org/doc/260667
ER -

References

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