On Extended Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications

Authors

Fiaz Ahmad Bhatti, National College of Business Administration and EconomicFollow
Gholamhossein G. Hamedani, Marquette UniversityFollow
Wenhui Sheng, Marquette UniversityFollow
Munir Ahmad, National College of Business Administration and Economics, LahoreFollow

Document Type

Article

Language

eng

Publication Date

2018

Publisher

De Gruyter

Source Publication

Stochastics and Quality Control

Source ISSN

2367-2390

Abstract

In this paper, we propose a flexible extended quadratic hazard rate (EQHR) distribution with increasing, decreasing, bathtub and upside-down bathtub hazard rate function. The EQHR density is arc, right-skewed and symmetrical shaped. This distribution is also obtained from compounding mixture distributions. Stochastic orderings, descriptive measures on the basis of quantiles, order statistics and reliability measures are theoretically established. Characterizations of the EQHR distribution are studied via different techniques. Parameters of the EQHR distribution are estimated using the maximum likelihood method. Goodness of fit of this distribution through different methods is studied.

Comments

Published version. Stochastics and Quality Control, Vol. 33, No. 1 (2018): 45-60. DOI. © 2018 De Gruyter. Used with permission.

Recommended Citation

Bhatti, Fiaz Ahmad; Hamedani, Gholamhossein G.; Sheng, Wenhui; and Ahmad, Munir, "On Extended Quadratic Hazard Rate Distribution: Development, Properties, Characterizations and Applications" (2018). Mathematical and Statistical Science Faculty Research and Publications. 10.
https://epublications.marquette.edu/math_fac/10