Computation of Reliability and Probability Weighted Moment Estimation for Three Parameter Mukherjee-Islam Failure Model

By : Showkat Ahmad Lone, A. Islam, Ahmdur Hrahman

Page No: 31-45

Abstract
The Mukherjee-Islam model is commonly used as a simple life time distribution to assess system reliability. We have introduced a location parameter ? (i.e. a time before which failure can’t occur) which makes it a more useful failure distribution than the existing ones. It has been shown to represent appropriate lower tail of the distribution of random variables having fixed lower bound. This study presents reliability computations and probability weighted moment estimation for this model. A comparative analysis is carried out between three-parameter finite range model and some existing bathtub shaped curve fitting models. Maximum likelihood estimation method has also been applied. Key words and Phrases: Reliability, Location parameter, Finite range failure model, Probability weighted moment, Comparative analysis.

Authors :
Showkat Ahmad Lone
Department of Statistics & Operations Research, Aligarh Muslim University, India. 

A. Islam
Department of Statistics & Operations Research, Aligarh Muslim University, India.

Ahmdur Hrahman
Department of Statistics & Operations Research, Aligarh Muslim University, India.

DOI: DOI-https://doi.org/10.32381/IAPQRT.2018.43.01.2