Robust estimation of the location and the scale parameters of shifted Gompertz distribution
Yazarlar (3)
Doç. Dr. Demet HAN AYDIN Sinop Üniversitesi, Türkiye
Prof. Dr. Fatma Gul Akgul Artvin Coruh University, Türkiye
Birdal Senoglu Ankara Üniversitesi, Türkiye
Makale Türü Özgün Makale (SCOPUS dergilerinde yayınlanan tam makale)
Dergi Adı Electronic Journal of Applied Statistical Analysis
Dergi ISSN 2070-5948 Dergi Bilgileri (2018)
Dergi Tarandığı Indeksler ESCI
Makale Dili İngilizce Basım Tarihi 04-2018
Cilt / Sayı / Sayfa 11 / 1 / 92–107 DOI 10.1285/I20705948V11N1P92
UAK Araştırma Alanları
İstatistiksel Analiz
Özet
In this study, we consider the estimation of the location parameter µ and the scale parameter σ of the shifted Gompertz distribution. We obtain the closed form estimators of these parameters by using the modified maximum likelihood methodology. We also compare the efficiencies of these estimators with the well-known and widely used least squares and maximum likelihood estimators via Monte-Carlo simulation study in terms of bias, mean square error and deficiency criteria. In addition, we evaluate the performances of the proposed estimators when the data set contains outliers or is contaminated. In other words, the robustness properties of the estimators are investigated. A real data set is analyzed to demonstrate the implementation of the estimation methods at the end of the study.
Anahtar Kelimeler
Least squares | Maximum likelihood | Modified likelihood | Monte-Carlo simulation | Robustness | Shifted Gompertz distribution
BM Sürdürülebilir Kalkınma Amaçları
Atıf Sayıları
Web of Science 3
Scopus 3
Google Scholar 6
Robust estimation of the location and the scale parameters of shifted Gompertz distribution

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