Multicomponent Inverse Lomax Stress-Strength Reliability

Nada S.  Karam; Shahbaa M.  Yousif; Bushra J.  Tawfeeq

doi:10.24996/ijs.2020.SI.1.10

Authors

Nada S. Karam Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq
Shahbaa M. Yousif Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq
Bushra J. Tawfeeq Department of Mathematics, College of Education, Mustansiriyah University, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2020.SI.1.10

Keywords:

Reliability, Multicomponent system, s-out of-k model, Invers Lomax distribution, Maximum likelihood estimation, Regression estimation

Abstract

In this article we derive two reliability mathematical expressions of two kinds of s-out of -k stress-strength model systems; and . Both stress and strength are assumed to have an Inverse Lomax distribution with unknown shape parameters and a common known scale parameter. The increase and decrease in the real values of the two reliabilities are studied according to the increase and decrease in the distribution parameters. Two estimation methods are used to estimate the distribution parameters and the reliabilities, which are Maximum Likelihood and Regression. A comparison is made between the estimators based on a simulation study by the mean squared error criteria, which revealed that the maximum likelihood estimator works the best.