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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 65 | Issue 7 | Year 2019 | Article Id. IJMTT-V65I7P523 | DOI : https://doi.org/10.14445/22315373/IJMTT-V65I7P523

Bayesian Analysisof Stress-Strength Reliability For Inverse Exponential Distribution Under Various Loss Functions


Parameshwar V. Pandit ,Kavitha, N
Abstract

In this paper, the estimation of stress – strength reliability(R)is considered, when strength and stress variables are assumed to be independently distributed inverse exponential random variables. The maximum likelihood and Bayes estimators of R are obtained. Bayesian estimation of R is studied under non-informative and Gamma priors with different loss functions using Lindley’s approximation technique. The simulation study is performed, to compare estimator by evaluating mean squared errors.The real data analysis is conducted

Keywords
Stress-strength model, Inverse exponential distribution, Reliability, maximum likelihood estimator, Bayes estimator, Lindley’s approximation.
References

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Citation :

Parameshwar V. Pandit ,Kavitha, N, "Bayesian Analysisof Stress-Strength Reliability For Inverse Exponential Distribution Under Various Loss Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 65, no. 7, pp. 162-170, 2019. Crossref, https://doi.org/10.14445/22315373/IJMTT-V65I7P523

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