Complete convergence for arrays of minimal order statistics
For arrays of independent Pareto random variables, this paper establishes complete convergence for weighted partial sums for the smaller order statistics within each row. This result improves on past strong laws. Moreover, it shows that we can obtain a finite nonzero limit for our normalized partial...
Saved in:
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2004-01-01
|
| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204401379 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832549433445711872 |
|---|---|
| author | André Adler |
| author_facet | André Adler |
| author_sort | André Adler |
| collection | DOAJ |
| description | For arrays of independent Pareto random variables, this paper establishes complete convergence for weighted partial sums for the smaller order statistics within each row. This result improves on past strong laws. Moreover, it shows that we can obtain a finite nonzero limit for our normalized partial sums under complete convergence even though the first moment of our order statistics is infinite. |
| format | Article |
| id | doaj-art-3c28ac5799874cf68cc9ea12f47bc4d8 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-3c28ac5799874cf68cc9ea12f47bc4d82025-02-03T06:11:13ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004442325232910.1155/S0161171204401379Complete convergence for arrays of minimal order statisticsAndré Adler0Department of Mathematics, Illinois Institute of Technology, Chicago 60616, IL, USAFor arrays of independent Pareto random variables, this paper establishes complete convergence for weighted partial sums for the smaller order statistics within each row. This result improves on past strong laws. Moreover, it shows that we can obtain a finite nonzero limit for our normalized partial sums under complete convergence even though the first moment of our order statistics is infinite.http://dx.doi.org/10.1155/S0161171204401379 |
| spellingShingle | André Adler Complete convergence for arrays of minimal order statistics International Journal of Mathematics and Mathematical Sciences |
| title | Complete convergence for arrays of minimal order statistics |
| title_full | Complete convergence for arrays of minimal order statistics |
| title_fullStr | Complete convergence for arrays of minimal order statistics |
| title_full_unstemmed | Complete convergence for arrays of minimal order statistics |
| title_short | Complete convergence for arrays of minimal order statistics |
| title_sort | complete convergence for arrays of minimal order statistics |
| url | http://dx.doi.org/10.1155/S0161171204401379 |
| work_keys_str_mv | AT andreadler completeconvergenceforarraysofminimalorderstatistics |