| Title:
|
$L^p$-discrepancy and statistical independence of sequences (English) |
| Author:
|
Grabner, Peter J. |
| Author:
|
Strauch, Oto |
| Author:
|
Tichy, Robert F. |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
49 |
| Issue:
|
1 |
| Year:
|
1999 |
| Pages:
|
97-110 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
We characterize statistical independence of sequences by the $L^p$-discrepancy and the Wiener $L^p$-discrepancy. Furthermore, we find asymptotic information on the distribution of the $L^2$-discrepancy of sequences. (English) |
| Keyword:
|
sequences |
| Keyword:
|
statistical independence |
| Keyword:
|
discrepancy |
| Keyword:
|
distribution functions |
| MSC:
|
11K06 |
| MSC:
|
11K31 |
| MSC:
|
11K38 |
| idZBL:
|
Zbl 1074.11509 |
| idMR:
|
MR1676837 |
| . |
| Date available:
|
2009-09-24T10:20:18Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/127470 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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