Estimation of reliability in multicomponent stress-strength model based on Gompertz distribution

Document Type : Original Paper

Author

Department of Statistics, Payame Noor University, Tehran, Iran

Abstract

In this research article,we estimate the multicomponent stress–strength reliability of a system when strength and stress variates are drawn from an exponentiated Weibull distribution with different shape parameters and , and common scale parameter , respectively. The reliability is estimated using the best single observation percentile method and maximum liklihood method of estimation when samples drawn from strength and stress distributions. The reliability estimators are compared asymptotically. The small sample comparison of the reliability estimates is made through Monte Carlo simulation. Using real data sets we illustrate the procedure.
Keywords: Stress–Strength, Reliability, Maximum likelihood estimation, Best single observation percentile estimation, Mean square error, Confidence intervals, Gompertz distribution.

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References

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Journal of Advanced Mathematical Modeling
Volume 9, Issue 2
September 2019
Pages 33-52

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History

  • Receive Date: 28 November 2017
  • Revise Date: 13 December 2018
  • Accept Date: 22 December 2018

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