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Open AccessArticle

Estimation of Reliability in a Multicomponent Stress–Strength System for the Exponentiated Moment-Based Exponential Distribution

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Department of Statistics, School of Mathematical Sciences, CNMS, The University of Dodoma, P.O. Box: 259, 41000 Dodoma, Tanzania
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National College of Business Administration and Economics, 54000 Lahore, Pakistan
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Department of Statistics, Faculty of Science, King Abdulaziz University, 21551 Jeddah, Saudi Arabia
*
Author to whom correspondence should be addressed.
Algorithms 2019, 12(12), 246; https://doi.org/10.3390/a12120246
Received: 8 October 2019 / Revised: 12 November 2019 / Accepted: 12 November 2019 / Published: 21 November 2019
A multicomponent system of k components with independent and identically distributed random strengths, with each component undergoing random stress, is in working condition if and only if at least s out of k strengths exceed the subjected stress. Reliability is measured while strength and stress are obtained through a process following an exponentiated moment-based exponential distribution with different shape parameters. Reliability is gauged from the samples using maximum likelihood (ML) on the computed distributions of strength and stress. Asymptotic estimates of reliability are compared using Monte Carlo simulation. Application to forest data and to breaking strengths of jute fiber shows the usefulness of the model.
Keywords: exponentiated moment-based exponential distribution; reliability; stress; strength; maximum likelihood; Monte Carlo simulation exponentiated moment-based exponential distribution; reliability; stress; strength; maximum likelihood; Monte Carlo simulation
MDPI and ACS Style

Rao, G.S.; Bhatti, F.A.; Aslam, M.; Albassam, M. Estimation of Reliability in a Multicomponent Stress–Strength System for the Exponentiated Moment-Based Exponential Distribution. Algorithms 2019, 12, 246.

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