Estimation of reliability in a multicomponent stress–strength system for the exponentiated moment-based exponential distribution
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Date
2019
Journal Title
Journal ISSN
Volume Title
Publisher
Multidisciplinary Digital Publishing Institute
Abstract
A multicomponent system of k components with independent and identically distributed random strengths X 1, X 2 , … X k , 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.
Description
Full text article. Also available at https://doi.org/10.3390/a12120246
Keywords
Exponentiated moment-based, Reliability, Monte Carlo simulation, Exponential distribution, Maximum likelihood, Multicomponent system, Strength, Stress
Citation
Rao, G. S., Bhatti, F. A., Aslam, M., & Albassam, M. (2019). Estimation of reliability in a multicomponent stress–strength system for the exponentiated moment-based exponential distribution, 12(12), 246.