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Paper Information

Journal:   MATHEMATICAL SCIENCES   2018 , Volume 12 , Number 1; Page(s) 71 To 77.
 
Paper: 

On the estimation of stress strength reliability parameter of inverted gamma distribution

 
 
Author(s):  Iranmanesh Anis*, Fathi Vajargah Kianoosh, HASANZADEH MARYAM
 
* Department of Statistics, Mashhad Azad University, Mashhad, Iran
 
Abstract: 
This paper deals with the estimation of the stress-strength reliability parameter R ¼ Pð Y\XÞ , when X and Y are independent random variables, where X and Y have inverted gamma distribution. The maximum likelihood estimator and the approximate maximum likelihood estimator of R are obtained. The Bayesian estimation of the reliability parameter has been also discussed under the assumption of independent gamma prior, squared error loss and Linex error loss functions. Finally, two real data applications are given for showing the flexibility and potentiality of the inverted gamma distribution.
 
Keyword(s): Bayes estimator ,Maximum likelihood estimator ,Inverted exponential distribution ,Inverted gamma distribution ,Stress-strength reliability parameter
 
 
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Citations: 
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APA: Copy

IRANMANESH, A., & Fathi Vajargah, K., & HASANZADEH, M. (2018). On the estimation of stress strength reliability parameter of inverted gamma distribution. MATHEMATICAL SCIENCES, 12(1), 71-77. https://www.sid.ir/en/journal/ViewPaper.aspx?id=668505



Vancouver: Copy

IRANMANESH ANIS, Fathi Vajargah Kianoosh, HASANZADEH MARYAM. On the estimation of stress strength reliability parameter of inverted gamma distribution. MATHEMATICAL SCIENCES. 2018 [cited 2021July27];12(1):71-77. Available from: https://www.sid.ir/en/journal/ViewPaper.aspx?id=668505



IEEE: Copy

IRANMANESH, A., Fathi Vajargah, K., HASANZADEH, M., 2018. On the estimation of stress strength reliability parameter of inverted gamma distribution. MATHEMATICAL SCIENCES, [online] 12(1), pp.71-77. Available: https://www.sid.ir/en/journal/ViewPaper.aspx?id=668505.



 
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