| Title:
|
Statistical convergence of a sequence of random variables and limit theorems (English) |
| Author:
|
Ghosal, Sanjoy |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
58 |
| Issue:
|
4 |
| Year:
|
2013 |
| Pages:
|
423-437 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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. (English) |
| Keyword:
|
asymptotic density |
| Keyword:
|
random variable |
| Keyword:
|
statistical convergence |
| Keyword:
|
statistical convergence in probability |
| Keyword:
|
statistical convergence in mean of order $r$ |
| Keyword:
|
statistical convergence in distribution |
| MSC:
|
40A35 |
| MSC:
|
40C05 |
| MSC:
|
60Fxx |
| MSC:
|
60Gxx |
| idZBL:
|
Zbl 06221239 |
| idMR:
|
MR3083522 |
| DOI:
|
10.1007/s10492-013-0021-7 |
| . |
| Date available:
|
2013-07-18T15:18:00Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143339 |
| . |
| Reference:
|
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| . |
