THE EXTENDED FAILURE RATE FAMILY: PROPERTIES AND APPLICATIONS IN THE ENGINEERING AND INSURANCE FIELDS | [Pakistan Journal of Statistics • 2022]

Author(s):

1. Ahmed Z. Afify: Department of Statistics, Mathematics and Insurance, Benha University Benha,13511,Egypt

2. Waleed Marzouk: Department of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University,Giza 12631,Egypt

3. Hazem Al-Mofleh: Department of Mathematics, Tafila Technical University,Tafila 66110,Jordan

4. Abdul Hadi N. Ahmed: Department of Mathematical Statistics, Faculty of Graduate Studies for Statistical Research, Cairo University,Giza 12631,Egypt

5. Noura A. Abdel-Fatah: Department of Demography and Biostatistics, Faculty of Graduate Studies for Statistical Research, Cairo University,Giza 12631,Egypt

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.

Page(s): 165-196

DOI: DOI not available

Published: Journal: Pakistan Journal of Statistics, Volume: 38, Issue: 2, Year: 2022

Keywords:

entropy , generalized linearfailure rate distribution , stochastic orderings , maximum likelihood estimation , Insurance , Order Statistics

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