| Title:
|
Some limit behavior for linear combinations of order statistics (English) |
| Author:
|
Miao, Yu |
| Author:
|
Ma, Mengyao |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
|
1805-949X (online) |
| Volume:
|
57 |
| Issue:
|
6 |
| Year:
|
2021 |
| Pages:
|
970-988 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the present paper, we establish the moderate and large deviations for the linear combinations of uniform order statistics. As applications, the moderate and large deviations for the $k$-th order statistics from uniform distribution, Gini mean difference statistics and the $k$-th order statistics from general continuous distribution are obtained. (English) |
| Keyword:
|
linear combinations of order statistics |
| Keyword:
|
large deviation |
| Keyword:
|
moderate deviation |
| Keyword:
|
Gini mean difference statistics |
| MSC:
|
62G30 |
| idZBL:
|
Zbl 07478650 |
| idMR:
|
MR4376871 |
| DOI:
|
10.14736/kyb-2021-6-0970 |
| . |
| Date available:
|
2022-02-04T08:47:19Z |
| Last updated:
|
2022-02-24 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/149351 |
| . |
| Reference:
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| . |
