Discrete Marshall-Olkin extended burr type xii distribution: properties and estimation
Author
Source
The Egyptian Statistical Journal
Issue
Vol. 66, Issue 2 (31 Dec. 2022), pp.17-41, 25 p.
Publisher
Publication Date
2022-12-31
Country of Publication
Egypt
No. of Pages
25
Main Subjects
Topics
Abstract EN
A new distribution with two parameters named discrete Marshall-Olkin extended Burr Type XII (DMOEBXII) distribution is introduced using the survival of discretizing approach.
Some of the statistical properties are discussed for the new distribution such as survival, hazard rate, alternative hazard rate functions, moments, quantiles, and order statistics.
Maximum likelihood method is applied under Type II censored samples for estimating the unknown parameters, survival and hazard rate function of the proposed model.
A simulation study is carried out to illustrate the theoretical results of the maximum likelihood estimation.
Finally, the DMOEBXII distribution is used to fit the number of day intervals between 109 consecutive coal-mining tragedies in the United Kingdom from 1875 to 1951, as well as 48 students' mathematics degrees at the Indian Institute of Technology in Kampur.
American Psychological Association (APA)
Fawzi, Hala. 2022. Discrete Marshall-Olkin extended burr type xii distribution: properties and estimation. The Egyptian Statistical Journal،Vol. 66, no. 2, pp.17-41.
https://search.emarefa.net/detail/BIM-1502883
Modern Language Association (MLA)
Fawzi, Hala. Discrete Marshall-Olkin extended burr type xii distribution: properties and estimation. The Egyptian Statistical Journal Vol. 66, no. 2 (2022), pp.17-41.
https://search.emarefa.net/detail/BIM-1502883
American Medical Association (AMA)
Fawzi, Hala. Discrete Marshall-Olkin extended burr type xii distribution: properties and estimation. The Egyptian Statistical Journal. 2022. Vol. 66, no. 2, pp.17-41.
https://search.emarefa.net/detail/BIM-1502883
Data Type
Journal Articles
Language
English
Notes
-
Record ID
BIM-1502883