Monte Carlo comparison of the parameter estimation methods for the two-parameter Gumbel distribution
Yazarlar (2)
Doç. Dr. Demet HAN AYDIN Sinop Üniversitesi, Türkiye
Prof. Dr. Birdal Şenoğlu Ankara Üniversitesi, Türkiye
| Makale Türü |
Özgün Makale
(SCOPUS dergilerinde yayınlanan tam makale)
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| Dergi Adı | Journal of Modern Applied Statistical Methods | ||
| Dergi ISSN | 1538-9472 Dergi Bilgileri (2015) | ||
| Dergi Tarandığı Indeksler | ESCI | ||
| Makale Dili | İngilizce | Basım Tarihi | 11-2015 |
| Kabul Tarihi | – | Yayınlanma Tarihi | 01-11-2015 |
| Cilt / Sayı / Sayfa | 14 / 2 / 123–140 | DOI | 10.22237/jmasm/1446351060 |
| Makale Linki | http://digitalcommons.wayne.edu/jmasm/vol14/iss2/12 | ||
| UAK Araştırma Alanları |
İstatistiksel Analiz
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| Özet |
| The performances of the seven different parameter estimation methods for the Gumbel distribution are compared with numerical simulations. Estimation methods used in this study are the method of moments (ME), the method of maximum likelihood (ML), the method of modified maximum likelihood (MML), the method of least squares (LS), the method of weighted least squares (WLS), the method of percentile (PE) and the method of probability weighted moments (PWM). Performance of the estimators is compared with respect to their biases, MSE and deficiency (Def) values via Monte-Carlo simulation. A Monte Carlo Simulation study showed that the method of PWM was the best performance the other methods of bias criterion and the method of ML outperforms the other methods in terms of Def criterion. A real life example taken from the hydrology literature is given at the end of the paper. |
| Anahtar Kelimeler |
| Efficiency | Estimation methods | Gumbel distribution | Monte Carlo simulation |
BM Sürdürülebilir Kalkınma Amaçları
| Atıf Sayıları | |
| Web of Science | 17 |
| Scopus | 19 |
| Google Scholar | 31 |