Bayesian Estimation of the Exponentiated Fréchet Distribution Parameters | ||
| The Egyptian Statistical Journal | ||
| Editorial, Volume 65, Issue 2, December 2021, Pages 1-13 PDF (825.94 K) | ||
| DOI: 10.21608/esju.2021.246402 | ||
| Author | ||
| Amel Abd El-Monem* | ||
| Abstract | ||
| This article discusses the Bayesian estimators of the parameters of Exponentiated Fréchet distribution under squared error loss function, elative error loss function and LINEX loss function using the non-informative and uniform priors. The performance of the proposed estimators has been compared based on their simulated risk and the mean square error (MSE).This paper has been obtained Bayes and maximum likelihood estimators for the three parameters exponentiated Fréchet distribution. We have obtained Bayesian estimators of the parameters of the Exponentiated Fréchet distribution under squared error loss function, relative error loss function and LINEX loss function using the non-informative and uniform priors. The performance of the proposed estimators has been compared based on their simulated risk and the mean square error (MSE). It is observed that estimates for ,b,p perform better where the sample size n is increased. Comparing estimates of tables when n=50.It is observed that estimates for =1, b=2, p=2 perform better than those using =2, b=3, p=3 perform better than those using =3, b=4, p=4. | ||
| Keywords | ||
| Fréchet distribution; Exponentiated distribution; Bayesian Estimation | ||
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