Applications of Burr III-Weibull quantile function in reliability analysis

Abstract

This paper introduces a new family of distributions defined in terms of quantile function. The quantile function introduced here is the sum of quantile functions of life time distributions called Burr III and Weibull. Different distributional characteristics and reliability properties are included in the study. Method of Least Square and Method of L-moments are applied to estimate the parameters of the model. Two real life data sets are used to illustrate the performance of the model.

Keywords:

• Weibull distribution
• Burr III distribution
• quantile density function
• quantile function
• hazard quantile function
• L-moments

Disclosure statement

No potential conflict of interest was reported by the author(s).