Ordered Variables and Their Concomitants under Extropy via COVID-19 Data Application
Extropy, as a complementary dual of entropy, has been discussed in many works of literature, where it is declared for other measures as an extension of extropy. In this article, we obtain the extropy of generalized order statistics via its dual and give some examples from well-known distributions. F...
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/6491817 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1850173047204478976 |
|---|---|
| author | Mohamed S. Mohamed Alanazi Talal Abdulrahman Zahra Almaspoor M. Yusuf |
| author_facet | Mohamed S. Mohamed Alanazi Talal Abdulrahman Zahra Almaspoor M. Yusuf |
| author_sort | Mohamed S. Mohamed |
| collection | DOAJ |
| description | Extropy, as a complementary dual of entropy, has been discussed in many works of literature, where it is declared for other measures as an extension of extropy. In this article, we obtain the extropy of generalized order statistics via its dual and give some examples from well-known distributions. Furthermore, we study the residual and past extropy for such models. On the other hand, based on Farlie–Gumbel–Morgenstern distribution, we consider the residual extropy of concomitants of m-generalized order statistics and present this measure with some additional features. In addition, we provide the upper bound and stochastic orders of it. Finally, nonparametric estimation of the residual extropy of concomitants of m-generalized order statistics is included using simulated and real data connected with COVID-19 virus. |
| format | Article |
| id | doaj-art-cc0bb6d76ceb489390ef0b762b377fa6 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-cc0bb6d76ceb489390ef0b762b377fa62025-08-20T02:19:57ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/64918176491817Ordered Variables and Their Concomitants under Extropy via COVID-19 Data ApplicationMohamed S. Mohamed0Alanazi Talal Abdulrahman1Zahra Almaspoor2M. Yusuf3Department of Mathematics, Faculty of Education, Ain Shams University, Cairo 11341, EgyptDepartment of Mathematics, Faculty of Science, Ha’il University, Hail, Saudi ArabiaDepartment of Statistics, Yazd University, P.O. Box 89175-741, Yazd, IranDepartment of Mathematics, Faculty of Science, Helwan University, Cairo, EgyptExtropy, as a complementary dual of entropy, has been discussed in many works of literature, where it is declared for other measures as an extension of extropy. In this article, we obtain the extropy of generalized order statistics via its dual and give some examples from well-known distributions. Furthermore, we study the residual and past extropy for such models. On the other hand, based on Farlie–Gumbel–Morgenstern distribution, we consider the residual extropy of concomitants of m-generalized order statistics and present this measure with some additional features. In addition, we provide the upper bound and stochastic orders of it. Finally, nonparametric estimation of the residual extropy of concomitants of m-generalized order statistics is included using simulated and real data connected with COVID-19 virus.http://dx.doi.org/10.1155/2021/6491817 |
| spellingShingle | Mohamed S. Mohamed Alanazi Talal Abdulrahman Zahra Almaspoor M. Yusuf Ordered Variables and Their Concomitants under Extropy via COVID-19 Data Application Complexity |
| title | Ordered Variables and Their Concomitants under Extropy via COVID-19 Data Application |
| title_full | Ordered Variables and Their Concomitants under Extropy via COVID-19 Data Application |
| title_fullStr | Ordered Variables and Their Concomitants under Extropy via COVID-19 Data Application |
| title_full_unstemmed | Ordered Variables and Their Concomitants under Extropy via COVID-19 Data Application |
| title_short | Ordered Variables and Their Concomitants under Extropy via COVID-19 Data Application |
| title_sort | ordered variables and their concomitants under extropy via covid 19 data application |
| url | http://dx.doi.org/10.1155/2021/6491817 |
| work_keys_str_mv | AT mohamedsmohamed orderedvariablesandtheirconcomitantsunderextropyviacovid19dataapplication AT alanazitalalabdulrahman orderedvariablesandtheirconcomitantsunderextropyviacovid19dataapplication AT zahraalmaspoor orderedvariablesandtheirconcomitantsunderextropyviacovid19dataapplication AT myusuf orderedvariablesandtheirconcomitantsunderextropyviacovid19dataapplication |