Comparison of some Bayesian shrinkage estimation for Frechet distribution with simulations

Al-Jabouri, Zahra Ibrahim Abd Abbas; Al-Taee, Abdulhussien Hassan Habib

doi:10.22075/ijnaa.2022.7232

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	Comparison of some Bayesian shrinkage estimation for Frechet distribution with simulations
International Journal of Nonlinear Analysis and Applications
مقاله 178، دوره 14، شماره 1، فروردین 2023، صفحه 2265-2278 اصل مقاله (951.83 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.7232
نویسندگان
Zahra Ibrahim Abd Abbas Al-Jabouri¹؛ Abdulhussien Hassan Habib Al-Taee^* ²
¹Department of Statistics, Faculty of Administration and Economics, Kerbala University, Iraq
²AL Amall Collage, Kerbala, Iraq
تاریخ دریافت: 14 مرداد 1401، تاریخ بازنگری: 04 مهر 1401، تاریخ پذیرش: 20 آبان 1401
چکیده
The Frechet distribution is one of the important statistical distributions and it has many applications, especially in the field of distributing the maximum extent of disease precipitation and river drainage, and estimating the parameters of the Frechet distribution is very important, and for that research came in an attempt to compare several methods of estimating the parameter of Frechet distribution based on different Bayesian methods with (square loss, Linux and Unix) functions. In this research, several simulation experiments were conducted according to the difference in (sample size, value of distribution parameters and estimation methods) and the results were compared based on mean square error criteria, it is possible to use other estimation methods such as (moments and percentile), for other distributions such as (Gumbel and Lindley).
کلیدواژه‌ها
Frechet distribution؛ Bayesian Shrinkage Estimators؛ Square Loss Function؛ Linux Loss Function؛ Unix Loss Function. Mean Square Error

مراجع
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Comparison of some Bayesian shrinkage estimation for Frechet distribution with simulations