Statistical Inferences of Burr XII Lifetime Models under Joint Type-1 Competing Risks Samples
The problem of statistical inference under joint censoring samples has received considerable attention in the past few years. In this paper, we adopted this problem when units under the test fail with different causes of failure which is known by the competing risks model. The model is formulated un...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
|
| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/9553617 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832562995966771200 |
|---|---|
| author | Tahani A. Abushal A. A. Soliman G. A. Abd-Elmougod |
| author_facet | Tahani A. Abushal A. A. Soliman G. A. Abd-Elmougod |
| author_sort | Tahani A. Abushal |
| collection | DOAJ |
| description | The problem of statistical inference under joint censoring samples has received considerable attention in the past few years. In this paper, we adopted this problem when units under the test fail with different causes of failure which is known by the competing risks model. The model is formulated under consideration that only two independent causes of failure and the unit are collected from two lines of production and its life distributed with Burr XII lifetime distribution. So, under Type-I joint competing risks samples, we obtained the maximum likelihood (ML) and Bayes estimators. Interval estimation is discussed through asymptotic confidence interval, bootstrap confidence intervals, and Bayes credible interval. The numerical computations which described the quality of theoretical results are discussed in the forms of real data analyzed and Monte Carlo simulation study. Finally, numerical results are discussed and listed through some points as a brief comment. |
| format | Article |
| id | doaj-art-0c6ed6345f8d4ce98fb8b9f13ee0e3bf |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-0c6ed6345f8d4ce98fb8b9f13ee0e3bf2025-02-03T01:21:09ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/9553617Statistical Inferences of Burr XII Lifetime Models under Joint Type-1 Competing Risks SamplesTahani A. Abushal0A. A. Soliman1G. A. Abd-Elmougod2Department of Mathematical ScienceDepartment of MathematicsDepartment of MathematicsThe problem of statistical inference under joint censoring samples has received considerable attention in the past few years. In this paper, we adopted this problem when units under the test fail with different causes of failure which is known by the competing risks model. The model is formulated under consideration that only two independent causes of failure and the unit are collected from two lines of production and its life distributed with Burr XII lifetime distribution. So, under Type-I joint competing risks samples, we obtained the maximum likelihood (ML) and Bayes estimators. Interval estimation is discussed through asymptotic confidence interval, bootstrap confidence intervals, and Bayes credible interval. The numerical computations which described the quality of theoretical results are discussed in the forms of real data analyzed and Monte Carlo simulation study. Finally, numerical results are discussed and listed through some points as a brief comment.http://dx.doi.org/10.1155/2021/9553617 |
| spellingShingle | Tahani A. Abushal A. A. Soliman G. A. Abd-Elmougod Statistical Inferences of Burr XII Lifetime Models under Joint Type-1 Competing Risks Samples Journal of Mathematics |
| title | Statistical Inferences of Burr XII Lifetime Models under Joint Type-1 Competing Risks Samples |
| title_full | Statistical Inferences of Burr XII Lifetime Models under Joint Type-1 Competing Risks Samples |
| title_fullStr | Statistical Inferences of Burr XII Lifetime Models under Joint Type-1 Competing Risks Samples |
| title_full_unstemmed | Statistical Inferences of Burr XII Lifetime Models under Joint Type-1 Competing Risks Samples |
| title_short | Statistical Inferences of Burr XII Lifetime Models under Joint Type-1 Competing Risks Samples |
| title_sort | statistical inferences of burr xii lifetime models under joint type 1 competing risks samples |
| url | http://dx.doi.org/10.1155/2021/9553617 |
| work_keys_str_mv | AT tahaniaabushal statisticalinferencesofburrxiilifetimemodelsunderjointtype1competingriskssamples AT aasoliman statisticalinferencesofburrxiilifetimemodelsunderjointtype1competingriskssamples AT gaabdelmougod statisticalinferencesofburrxiilifetimemodelsunderjointtype1competingriskssamples |