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Some estimation procedures of the PDF and CDF of the generalized inverted Weibull distribution with comparison | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 82، دوره 12، شماره 1، مرداد 2021، صفحه 1017-1036 اصل مقاله (821.49 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2020.21419.2257 | ||
| نویسندگان | ||
| Mortaza Ghasemi Cherati1؛ Ezzatallah Baloui Jamkhaneh* 2؛ Einolah Deiri1 | ||
| 1Department of Statistics, Qaemshahr Branch, IslamicAzad University, Qaemshahr, Iran | ||
| 2Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran | ||
| تاریخ دریافت: 13 شهریور 1399، تاریخ بازنگری: 25 مهر 1399، تاریخ پذیرش: 07 آبان 1399 | ||
| چکیده | ||
| Different estimation procedures for the probability density and cumulative distribution functions of the generalized inverted Weibull distribution are discussed. For this purpose, the parametric and non-parametric estimation approaches as maximum likelihood, uniformly minimum variance unbiased, percentile, least squares and weighted least squares estimators are considered and compared. The expectations and mean square error of the maximum likelihood and uniformly minimum variance unbiased estimation are provided in the closed-form whereas, for non-parametric estimation methods (percentile, least squares and weighted least squares), the expectations and mean square error are computed via the simulation data. The Monte Carlo simulations are provided to assess the performances of the proposed estimation methods. Finally, the analysis of the real data set has been presented for illustrative purposes. | ||
| کلیدواژه‌ها | ||
| Generalized inverted Weibull distribution؛ Maximum likelihood estimator؛ Uniformly minimum variance unbiased estimator؛ Percentile estimator؛ Least squares estimator؛ Weighted least squares estimator | ||
| مراجع | ||
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