| Title:
|
The Doob inequality and strong law of large numbers for multidimensional arrays in general Banach spaces (English) |
| Author:
|
Huan, Nguyen Van |
| Author:
|
Quang, Nguyen Van |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
48 |
| Issue:
|
2 |
| Year:
|
2012 |
| Pages:
|
254-267 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We establish the Doob inequality for martingale difference arrays and provide a sufficient condition so that the strong law of large numbers would hold for an arbitrary array of random elements without imposing any geometric condition on the Banach space. Some corollaries are derived from the main results, they are more general than some well-known ones. (English) |
| Keyword:
|
the Doob inequality |
| Keyword:
|
strong law of large numbers |
| Keyword:
|
martingale difference array |
| Keyword:
|
Banach space |
| MSC:
|
60B12 |
| MSC:
|
60E15 |
| MSC:
|
60F15 |
| MSC:
|
60G42 |
| idMR:
|
MR2954324 |
| . |
| Date available:
|
2012-05-15T16:14:58Z |
| Last updated:
|
2013-09-22 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/142812 |
| . |
| Reference:
|
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| . |
