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Some results on Bayes estimation under Linex loss function | ||
| Journal of Hyperstructures | ||
| دوره 13، شماره 1، شهریور 2024، صفحه 79-93 اصل مقاله (318.75 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22098/jhs.2024.3045 | ||
| نویسندگان | ||
| Masoud Ganji* 1؛ Fatemeh Gharari2 | ||
| 1Faculty of Mathematical Sciences, University of Mohaghegh Ardabili, Ardabil, Iran | ||
| 2Department of Statistics, University of University of Mohaghegh Ardabili, P.O.Box 56199-11367, Ardabili, Iran | ||
| چکیده | ||
| In this paper, we introduced straightforward formulas for the Bayes risk linked to the Linex loss function, which we then applied to estimate parameters of the normal, Poisson, and fractional Weibull distributions. We aimed to investigate the development of a linear Bayes estimator using the Linex loss function and successfully derived it for the normal and Poisson scenarios. We also demonstrated the process of creating empirical Bayes estimates using Linex loss and applied it to observed frequencies fn(x)$ produced by the Poisson-gamma model. | ||
| کلیدواژه‌ها | ||
| Bayes Risk؛ Linex Loss Function؛ Linear Bayes Estimation؛ Empirical Bayese Estimation | ||
| مراجع | ||
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