Stress Strength Reliability of Regular and Relayed Linear Consecutive k Out of n : F Systems with m Change Points

Authors

N. A. Mokhlis, Department of Mathematics, Faculty of Science, Ain Shams University, Cairo, Egypt.
M. M. Nassar
S. M. Bakry

Author Country (or Countries)

Egypt.

Abstract

This paper presents a stress strength reliability model of regular and relayed linear consecutive k out of n : F systems with m change points. The components are assumed to be identical and independent. Explicit expressions of the reliabilities are obtained, and hence the stress strength reliability is obtained generally for any distributions of stresses and strengths. As an application, the distribution of the strength is taken to be generalized Lindely, while the stresses are exponential. The reliability estimators are obtained by applying EM algorithm. Finally, a numerical illustration is performed to highlight the theoretical results obtained.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/070206

Recommended Citation

A. Mokhlis, N.; M. Nassar, M.; and M. Bakry, S. (2018) "Stress Strength Reliability of Regular and Relayed Linear Consecutive k Out of n : F Systems with m Change Points," Journal of Statistics Applications & Probability: Vol. 7: Iss. 2, Article 6.
DOI: http://dx.doi.org/10.18576/jsap/070206
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol7/iss2/6