On Modified Extended Exponential Power Life Testing Distribution: Development, Properties, Characterizations and Application

Authors

Fiaz Ahmad Bhatti, National College of Business Administration and EconomicsFollow
Gholamhossein G. Hamedani, Marquette UniversityFollow
Seyed Morteza Najibi, Shiraz UniversityFollow
Munir Ahmad, National College of Business Administration and Economics, LahoreFollow

Document Type

Article

Publication Date

9-2019

Publisher

Springer

Source Publication

Annals of Data Science

Source ISSN

2198-5804

Abstract

In this paper, a flexible modified extended exponential power life testing (MEEPLT) distribution is proposed. The MEEPLT distribution has increasing, decreasing and bathtub hazard rate function. The MEEPLT density is arc, left skewed, right-skewed and symmetrical shaped. The MEEPLT distribution is developed on the basis of the generalized Pearson differential equation. Some structural and mathematical properties including descriptive measures on the basis of quantiles, moments, order statistics and reliability measures are theoretically established. Characterizations of MEEPLT distribution are also studied via different techniques. Parameters of the MEEPLT distribution are estimated using maximum likelihood method. The simulation study for performance of the MLEs of the MEEPLT distribution is carried out. Goodness of fit of this distribution through different methods is studied.

Comments

Annals of Data Science, Vol. 6, No. 3 (September 2019): 413-439. DOI.

Recommended Citation

Bhatti, Fiaz Ahmad; Hamedani, Gholamhossein G.; Najibi, Seyed Morteza; and Ahmad, Munir, "On Modified Extended Exponential Power Life Testing Distribution: Development, Properties, Characterizations and Application" (2019). Mathematical and Statistical Science Faculty Research and Publications. 94.
https://epublications.marquette.edu/math_fac/94