International Journal of Nonlinear Analysis and Applications
On the maximum likelihood, Bayes and expansion estimation for the reliability function of Kumaraswamy distribution under different loos function
Document Type : Research Paper
Authors
1 Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
2 Department of Ways and Transportation, College of Engineering, Mustansiriyah University, Baghdad, Iraq
Abstract
This work deals with Kumaraswamy distribution. Maximum likelihood, Bayes and expansion methods of estimation are used to estimate the reliability function. A symmetric Loss function (De-groot and NLINEX) are used to find the reliability function based on four types of informative prior three double priors and one single prior. In addition expansion methods (Bernstein polynomials and Power function) are applied to find reliability function numerically. Simulation research is conducted for the comparison of the effectiveness of the proposed estimators. Matlab (2015) will be used to obtain the numerical results.
Keywords
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Volume 13, Issue 1
March 2022Pages 1587-1604
- Receive Date: 10 October 2021
- Accept Date: 26 November 2021