Mahmoud, Mohammed, Mohammed, Amal, Abraheem, Sudad. (1400). A comparative study on numerical, non-Bayes and Bayes estimation for the shape parameter of Kumaraswamy distribution. هنرهای کاربردی, 13(1), 1417-1434. doi: 10.22075/ijnaa.2022.5756
Mohammed A. Mahmoud; Amal A. Mohammed; Sudad K. Abraheem. "A comparative study on numerical, non-Bayes and Bayes estimation for the shape parameter of Kumaraswamy distribution". هنرهای کاربردی, 13, 1, 1400, 1417-1434. doi: 10.22075/ijnaa.2022.5756
Mahmoud, Mohammed, Mohammed, Amal, Abraheem, Sudad. (1400). 'A comparative study on numerical, non-Bayes and Bayes estimation for the shape parameter of Kumaraswamy distribution', هنرهای کاربردی, 13(1), pp. 1417-1434. doi: 10.22075/ijnaa.2022.5756
Mahmoud, Mohammed, Mohammed, Amal, Abraheem, Sudad. A comparative study on numerical, non-Bayes and Bayes estimation for the shape parameter of Kumaraswamy distribution. هنرهای کاربردی, 1400; 13(1): 1417-1434. doi: 10.22075/ijnaa.2022.5756

A comparative study on numerical, non-Bayes and Bayes estimation for the shape parameter of Kumaraswamy distribution

International Journal of Nonlinear Analysis and Applications
مقاله 117، دوره 13، شماره 1، خرداد 2022، صفحه 1417-1434    اصل مقاله (507.32 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.5756
نویسندگان
Mohammed A. Mahmoud* 1؛ Amal A. Mohammed2؛ Sudad K. Abraheem1
1Department of Mathematics, College of Science, Mustansiriyah University, Baghdad, Iraq
2Department of ways and Transportation, College of Engineering, Mustansiriyah University, Baghdad, Iraq
چکیده
This paper is considered with Kumaraswamy distribution. Numerical, non-Bayes and Bayes methods of estimation were used to estimate the unknown shape parameter. The maximum likelihood is obtained as a non-Bayes estimator. As well as, Bayes estimators under a symmetric loss function (De-groot and NLINEX) by using four types of informative priors three double priors and one single prior. In addition, numerical estimators are obtained by using Newton's method and the false position method. Simulation research is conducted for the comparison of the effectiveness of the proposed estimators. Matlab 2015 will be used to obtain the numerical results.
کلیدواژه‌ها
Kumaraswamy distribution؛ Bayes؛ non-Bayes؛ Numerical estimator
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