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03- Journal of Statistics Applications & Probability
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 7 > No. 2

 
   

Estimation of R = P(Y < X) using k-Upper Record Values from Kumaraswamy Distribution

PP: 263-273
doi:10.18576/jsap/070204
Author(s)
Naser A. Abou-Elheggag, Al-Wageh A. Farghal, Hanan A. Ramadan,
Abstract
The problem of estimating the stress-strength R = P(Y < X) when X and Y are two independent ordinary samples was considered by many authors. In this paper, the problem of estimation of R = P(Y < X) when X and Y are two independent k-upper record values from the Kumaraswamy distribution is considered. Maximum likelihood (ML) and Bayes techniques are used for this purpose. The maximum likelihood estimator is used to construct both an exact confidence interval and percentile bootstrap confidence interval of the stress-strength. Bayes estimators have been developed under both symmetric (squared error) and asymmetric (LINEX) loss functions. Monte Carlo simulations are performed to compare the performances of the different methods.

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