International Journal of Mathematical, Engineering and Management Sciences

ISSN: 2455-7749

Bayesian Estimation of Stress Strength Reliability using Upper Record Values from Generalised Inverted Exponential Distribution

Ritu Kumari
Department of Statistics, Panjab University, Chandigarh, India.

Kalpana K. Mahajan
Department of Statistics, Panjab University, Chandigarh, India.

Sangeeta Arora
Department of Statistics, Panjab University, Chandigarh, India.

DOI https://dx.doi.org/10.33889/IJMEMS.2019.4.4-070

Received on December 26, 2018
  ;
Accepted on April 12, 2019

Abstract

The paper develops Bayesian estimators and HPD intervals for the stress strength reliability of generalised inverted exponential distribution using upper record values. For prior distribution, informative prior as well as non-informative prior both are considered. The Bayes estimators are obtained under both symmetric and asymmetric loss functions. A simulation study is conducted to obtain the Bayes estimates of stress strength reliability. Simulated data sets are also considered here for illustration purpose.

Keywords- Bayesian estimators, Record values, HPD intervals, Loss functions.

Citation

Kumari, R., Mahajan, K. K., & Arora, S. (2019). Bayesian Estimation of Stress Strength Reliability using Upper Record Values from Generalised Inverted Exponential Distribution. International Journal of Mathematical, Engineering and Management Sciences, 4(4), 882-894. https://dx.doi.org/10.33889/IJMEMS.2019.4.4-070.

Conflict of Interest

The authors confirm that there is no conflict of interest for this publication.

Acknowledgements

The authors are thankful to the anonymous reviewers and the editor for their valuable suggestions and comments which has led to an improvement in the manuscript. We also like to acknowledge with thanks the financial assistance provided by the UGC, New Delhi, India. All the authors also acknowledge the support provided by DST under PURSE grant.

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