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- Title
THE EXTENDED FAILURE RATE FAMILY: PROPERTIES AND APPLICATIONS IN THE ENGINEERING AND INSURANCE FIELDS.
- Authors
Afify, Ahmed Z.; Marzouk, Waleed; Al-Mofleh, Hazem; Ahmed, Abdul Hadi N.; Abdel-Fatah, Noura A.
- Abstract
This paper presents, a new family of distributions, named the generalized linear failure rate family, generated from a generalized linear failure rate random variable is introduced. The new family contains five well-known families as special cases. Four particular distributions stemmed from the new family are explored. Mathematical properties of interest of the new family are derived. The maximum likelihood method is used to estimate the model parameters and its behavior is explored via detailed simulations. Finally, the importance of the new family is illustrated through two applications extracted from practice.
- Subjects
MAXIMUM likelihood statistics; RANDOM variables; STOCHASTIC orders; LINEAR codes
- Publication
Pakistan Journal of Statistics, 2022, Vol 38, Issue 2, p165
- ISSN
1012-9367
- Publication type
Article