On the joint distribution of order statistics from independent non-identical bivariate distributions
Abstract In this note, the exact joint probability density function (jpdf) of bivariate order statistics from independent non-identical bivariate distributions is obtained. Furthermore, this result is applied to derive the joint distribution of a new sample rank obtained from the rth order statistic...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-08-01
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| Series: | Journal of the Egyptian Mathematical Society |
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| Online Access: | http://link.springer.com/article/10.1186/s42787-019-0034-9 |
| _version_ | 1819145262459781120 |
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| author | A. R. Omar |
| author_facet | A. R. Omar |
| author_sort | A. R. Omar |
| collection | DOAJ |
| description | Abstract In this note, the exact joint probability density function (jpdf) of bivariate order statistics from independent non-identical bivariate distributions is obtained. Furthermore, this result is applied to derive the joint distribution of a new sample rank obtained from the rth order statistics of the first component and the sth order statistics of the second component. |
| first_indexed | 2024-12-22T12:55:14Z |
| format | Article |
| id | doaj.art-6674db7958fd45b3b32c15b4d7acd574 |
| institution | Directory Open Access Journal |
| issn | 2090-9128 |
| language | English |
| last_indexed | 2024-12-22T12:55:14Z |
| publishDate | 2019-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of the Egyptian Mathematical Society |
| spelling | doaj.art-6674db7958fd45b3b32c15b4d7acd5742022-12-21T18:25:07ZengSpringerOpenJournal of the Egyptian Mathematical Society2090-91282019-08-012711610.1186/s42787-019-0034-9On the joint distribution of order statistics from independent non-identical bivariate distributionsA. R. Omar0Faculty of Science, Department of Mathematics, Girls Branch, Al-Azhar UniversityAbstract In this note, the exact joint probability density function (jpdf) of bivariate order statistics from independent non-identical bivariate distributions is obtained. Furthermore, this result is applied to derive the joint distribution of a new sample rank obtained from the rth order statistics of the first component and the sth order statistics of the second component.http://link.springer.com/article/10.1186/s42787-019-0034-9Bivariate order statisticsJoint distributionRankRandom vector |
| spellingShingle | A. R. Omar On the joint distribution of order statistics from independent non-identical bivariate distributions Journal of the Egyptian Mathematical Society Bivariate order statistics Joint distribution Rank Random vector |
| title | On the joint distribution of order statistics from independent non-identical bivariate distributions |
| title_full | On the joint distribution of order statistics from independent non-identical bivariate distributions |
| title_fullStr | On the joint distribution of order statistics from independent non-identical bivariate distributions |
| title_full_unstemmed | On the joint distribution of order statistics from independent non-identical bivariate distributions |
| title_short | On the joint distribution of order statistics from independent non-identical bivariate distributions |
| title_sort | on the joint distribution of order statistics from independent non identical bivariate distributions |
| topic | Bivariate order statistics Joint distribution Rank Random vector |
| url | http://link.springer.com/article/10.1186/s42787-019-0034-9 |
| work_keys_str_mv | AT aromar onthejointdistributionoforderstatisticsfromindependentnonidenticalbivariatedistributions |