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Bayesian Estimation of Stress Strength Reliability using Upper Record Values from Generalised Inverted Exponential Distribution
- Source :
- International Journal of Mathematical, Engineering and Management Sciences, Vol 4, Iss 4, Pp 882-894 (2019)
- Publication Year :
- 2019
- Publisher :
- International Journal of Mathematical, Engineering and Management Sciences, 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.
- Subjects :
- Bayes estimator
021103 operations research
Exponential distribution
General Computer Science
Bayesian estimators
lcsh:T
General Mathematics
lcsh:Mathematics
0211 other engineering and technologies
General Engineering
HPD intervals
02 engineering and technology
Stress strength
lcsh:QA1-939
01 natural sciences
General Business, Management and Accounting
lcsh:Technology
010104 statistics & probability
Statistics
Loss functions
Record values
0101 mathematics
Reliability (statistics)
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 24557749
- Volume :
- 4
- Issue :
- 4
- Database :
- OpenAIRE
- Journal :
- International Journal of Mathematical, Engineering and Management Sciences
- Accession number :
- edsair.doi.dedup.....53541071975f58f5e1ba1408f9b7fd76