Weighted extropy measures in general Morgenstern family under k-record values with application to medical data
In this paper, we study the marginal distribution of concomitants of k-record (KR) values from generalized Farlie–Gumbel–Morgenstern (GFGM) of bivariate distributions. In addition, the joint distribution of concomitants of KR for this family is obtained. Furthermore, some useful recurrence relations...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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AIP Publishing LLC
2024-01-01
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| Series: | AIP Advances |
| Online Access: | http://dx.doi.org/10.1063/5.0188895 |
| _version_ | 1797332026148257792 |
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| author | M. Nagy Adel Fahad Alrasheedi |
| author_facet | M. Nagy Adel Fahad Alrasheedi |
| author_sort | M. Nagy |
| collection | DOAJ |
| description | In this paper, we study the marginal distribution of concomitants of k-record (KR) values from generalized Farlie–Gumbel–Morgenstern (GFGM) of bivariate distributions. In addition, the joint distribution of concomitants of KR for this family is obtained. Furthermore, some useful recurrence relations between moments of concomitants are derived. In addition, the hazard rate, the reversed hazard rate, and mean residual life functions of concomitants for this family are obtained. Some recent new measures of information, such as weighted extropy, weighted cumulative past extropy, and weighted cumulative residual extropy, are investigated for the concomitant of KR under the GFGM family. A non-parametric estimator of the proposed measure is provided by combining the empirical method with the concurrent use of KR in the GFGM family. Finally, we analyzed real-world data to examine our findings. |
| first_indexed | 2024-03-08T07:43:43Z |
| format | Article |
| id | doaj.art-2467767693c348a3bce33b6b4cfe5327 |
| institution | Directory Open Access Journal |
| issn | 2158-3226 |
| language | English |
| last_indexed | 2024-03-08T07:43:43Z |
| publishDate | 2024-01-01 |
| publisher | AIP Publishing LLC |
| record_format | Article |
| series | AIP Advances |
| spelling | doaj.art-2467767693c348a3bce33b6b4cfe53272024-02-02T16:46:06ZengAIP Publishing LLCAIP Advances2158-32262024-01-01141015153015153-1710.1063/5.0188895Weighted extropy measures in general Morgenstern family under k-record values with application to medical dataM. Nagy0Adel Fahad Alrasheedi1Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaDepartment of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi ArabiaIn this paper, we study the marginal distribution of concomitants of k-record (KR) values from generalized Farlie–Gumbel–Morgenstern (GFGM) of bivariate distributions. In addition, the joint distribution of concomitants of KR for this family is obtained. Furthermore, some useful recurrence relations between moments of concomitants are derived. In addition, the hazard rate, the reversed hazard rate, and mean residual life functions of concomitants for this family are obtained. Some recent new measures of information, such as weighted extropy, weighted cumulative past extropy, and weighted cumulative residual extropy, are investigated for the concomitant of KR under the GFGM family. A non-parametric estimator of the proposed measure is provided by combining the empirical method with the concurrent use of KR in the GFGM family. Finally, we analyzed real-world data to examine our findings.http://dx.doi.org/10.1063/5.0188895 |
| spellingShingle | M. Nagy Adel Fahad Alrasheedi Weighted extropy measures in general Morgenstern family under k-record values with application to medical data AIP Advances |
| title | Weighted extropy measures in general Morgenstern family under k-record values with application to medical data |
| title_full | Weighted extropy measures in general Morgenstern family under k-record values with application to medical data |
| title_fullStr | Weighted extropy measures in general Morgenstern family under k-record values with application to medical data |
| title_full_unstemmed | Weighted extropy measures in general Morgenstern family under k-record values with application to medical data |
| title_short | Weighted extropy measures in general Morgenstern family under k-record values with application to medical data |
| title_sort | weighted extropy measures in general morgenstern family under k record values with application to medical data |
| url | http://dx.doi.org/10.1063/5.0188895 |
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