Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution

Fatma Gül AKGÜL (Artvin Çoruh Üniversitesi, Bilgisayar Mühendisliği Bölümü, Artvin, Türkiye)
Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
2 0
Yıl: 2018 Cilt: 22 Sayı: 3 Sayfa Aralığı: 1209 - 1216 Metin Dili: İngilizce DOI: 10.19113/sdufenbed.498870 İndeks Tarihi: 21-02-2020

Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution

Öz:
In this paper, we consider the estimation for the parameters ofexponentiated reduced Kies (ERK) distribution using maximum likelihood (ML),least squares (LS), weighted least squares (WLS), Cramér-von Mises (CM), AndersonDarling (AD) and right-tail Anderson Darling (RAD) methods. The performances ofthe estimators are compared via Monte-Carlo simulation study for differentparameter settings and different sample sizes. Finally, a real data set is analyzed forthe implementation of the proposed methods.
Anahtar Kelime:

Exponentiated Reduced Kies Dağılımının Parametreleri için Tahmin Yöntemlerinin Karşılaştırılması

Öz:
Bu makalede, exponentiated reduced Kies (ERK) dağılımının parametreleri en çok olabilirlik, en küçük kareler, ağırlıklandırılmış en küçük karaler, Cramér-von Mises, Anderson Darling ve sağ-kuyruklu Anderson Darling yöntemleri kullanılarak tahmin edilmiştir. Tahmin edicilerin performansları farklı parametre değerleri ve farklı örneklemler boyutları için Monte-Carlo simülasyon çalışması ile karşılaştırılmıştır. Son olarak, önerilen yöntemlerin uygulanması için gerçek bir veri seti analiz edilmiştir.
Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık
  • Kantar, Y. M., Şenoğlu, B. 2008. A comparative study for the location and scale parameters of the Weibull distribution with given shape parameter. Computer and Geosciences, 34, 1900-1909.
  • Akgül, F. G., Şenoğlu, B., Arslan, T. 2016. An alternative distribution to Weibull for modeling the wind speed data: Inverse Weibull distribution. Energy Conversion and Management, 114, 234-240.
  • Mudholkar, G. S., Srivastava, D. K. 1993. Exponentiated Weibull family for analyzing bathtub failure-rate data. IEEE Transactions on Reliability, 42, 299-302.
  • Mudholkar, G. S., Kollia, G. D. 1994. Generalized Weibull family: a structural analysis. Communications in Statistics – Theory and Methods, 23(4), 1149-71.
  • Xie, M., Tang, Y., Goh, T. N. 2002. A modified Weibull extension with bathtub-shaped failure rate function. Reliability Engineering and System Safety, 76, 279-285.
  • Lee, C., Famoye, F., Olumolade, O. 2007. BetaWeibull distribution: Some properties and applications to censored data. Journal of Modern Applied Statistical Methods, 6(1), 173- 186.
  • Cordeiro, G. M., Gomes, A. E., Queiroz da-Silva, C., Ortega, E. M. M. 2013. The beta exponentiated Weibull distribution. Journal of Statistical Computation and Simulation, 83(1), 114-138.
  • Kies, J. A. 1958. The strength of glass performance. Naval Research Lab Report No. 5093, Washington, D.C.
  • Kumar, C. S., Dharmaja, S. H. S. 2014. On some properties of Kies distribution. Metron, 72, 97- 122.
  • Kumar, C. S., Dharmaja, S. H. S. 2013. On reduced Kies distribution. In: Kumar, C.S., Chacko, M., Sathar, E.I.A., eds. Collection of Recent Statistical Methods and Applications, (pp. 111– 123). Trivandrum: Department of Statistics, University of Kerala Publishers.
  • Kumar, C. S., Dharmaja, S. H. S. 2017. The exponentiated reduced Kies distribution: Properties and applications. Communications in Statistics – Theory and Methods, 46(17), 8778-90.
  • Wolfowitz, J. 1953. Estimation by the minimum distance methods. Ann. Ins. Stat. Math. 5, 9-23.
  • Wolfowitz, J. 1957. The minimum distance methods. Ann. Math. Stat. 28, 75-88.
  • Luceño, A. 2008. Maximum likelihood vs. maximum goodness of fit estimation of the three-parameter Weibull distribution. Journal of Statistical Computation and Simulation, 78(10), 941-949.
  • Santo, A. P. J. E., Mazucheli, J. 2015. Comparison of estimation methods for the Marshall-Olkin extended Lindley distribution. Journal of Statistical Computation and Simulation, 85(17), 3437-3450.
  • Mazucheli, J., Ghitany, M. E., Louzada, F. 2017. Comparisons of ten estimation methods for the parameters of Marshall-Olkin extended exponential distribution. Communications in Statistics – Simulation and Computation, 46(7), 5627-5645.
  • Akgül, F. G., Şenoğlu, B. 2018. Comparison of Estimation Methods for Inverse Weibull Distribution. 1-22. Tez, M., von Rosen, D. 2018. Trends and Perspectives in Linear Statistical Inference, Springer.
  • Wingo, D. R. 1983. Maximum likelihood methods for fitting the Burr XII distribution to life test data. Biom J., 25, 77-84.
APA Akgül F (2018). Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution. , 1209 - 1216. 10.19113/sdufenbed.498870
Chicago Akgül Fatma Gül Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution. (2018): 1209 - 1216. 10.19113/sdufenbed.498870
MLA Akgül Fatma Gül Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution. , 2018, ss.1209 - 1216. 10.19113/sdufenbed.498870
AMA Akgül F Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution. . 2018; 1209 - 1216. 10.19113/sdufenbed.498870
Vancouver Akgül F Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution. . 2018; 1209 - 1216. 10.19113/sdufenbed.498870
IEEE Akgül F "Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution." , ss.1209 - 1216, 2018. 10.19113/sdufenbed.498870
ISNAD Akgül, Fatma Gül. "Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution". (2018), 1209-1216. https://doi.org/10.19113/sdufenbed.498870
APA Akgül F (2018). Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22(3), 1209 - 1216. 10.19113/sdufenbed.498870
Chicago Akgül Fatma Gül Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22, no.3 (2018): 1209 - 1216. 10.19113/sdufenbed.498870
MLA Akgül Fatma Gül Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol.22, no.3, 2018, ss.1209 - 1216. 10.19113/sdufenbed.498870
AMA Akgül F Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018; 22(3): 1209 - 1216. 10.19113/sdufenbed.498870
Vancouver Akgül F Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi. 2018; 22(3): 1209 - 1216. 10.19113/sdufenbed.498870
IEEE Akgül F "Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution." Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 22, ss.1209 - 1216, 2018. 10.19113/sdufenbed.498870
ISNAD Akgül, Fatma Gül. "Comparison of the Estimation Methods for the Parameters of Exponentiated Reduced Kies Distribution". Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 22/3 (2018), 1209-1216. https://doi.org/10.19113/sdufenbed.498870
Sayfa Oluşturulma Tarihi
23-04-2024 10:29

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