Parameters Estimation for the Unit log-log Distribution

Akdoğan, Yunus; Karakaya, Kadir; ÜNAL, YENER; korkmaz, mustafa cagatay

doi:10.17776/csj.1171453

Parameters Estimation for the Unit log-log Distribution

Mustafa Çağatay KORKMAZ, (Artvin Çoruh Üniversitesi, Eğitim Fakültesi, Ölçme ve Değerlendirme Bölümü, Artvin, Türkiye)

Kadir KARAKAYA, (Selçuk Üniversitesi, Fen Fakültesi, İstatistik Bölümü, Konya, Türkiye)

Yunus AKDOĞAN, (Selçuk Üniversitesi, Fen Fakültesi, İstatistik Bölümü, Konya, Türkiye)

Yener ÜNAL (Sivas Cumhuriyet Üniversitesi, Fen Fakültesi, İstatistik ve Bilgisayar Bilimleri Bölümü, Sivas, Türkiye)

Cumhuriyet Science Journal

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Yıl: 2023 Cilt: 44 Sayı: 1 Sayfa Aralığı: 224 - 228 Metin Dili: İngilizce DOI: 10.17776/csj.1171453 İndeks Tarihi: 25-05-2023

Parameters Estimation for the Unit log-log Distribution

Öz:

In this paper, point estimation problem of two unknown parameters of the unit log-log distribution is examined. For point estimation, six methods of estimate such as maximum likelihood, maximum product spacing, Anderson-Darling, least squares, weighted least squares, and Cramer-von Mises are examined in detail. Extensive simulation experiments are conducted to compare the effectiveness of these estimators based on bias and mean squared errors. According to the simulation results, it is seen that all estimators performed well in terms of two criteria and take close values in case of large sample. Moreover, practical data applications are performed for all estimators. Results of the Kolmogorov-Smirnov statistics are reported for all estimators in practical applications.

Anahtar Kelime: Unit log-log distribution Estimation Monte Carlo simuation Kolmogrov-Smirnov statistic.

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	korkmaz m, Karakaya K, Akdoğan Y, ÜNAL Y (2023). Parameters Estimation for the Unit log-log Distribution. , 224 - 228. 10.17776/csj.1171453
Chicago	korkmaz mustafa cagatay,Karakaya Kadir,Akdoğan Yunus,ÜNAL YENER Parameters Estimation for the Unit log-log Distribution. (2023): 224 - 228. 10.17776/csj.1171453
MLA	korkmaz mustafa cagatay,Karakaya Kadir,Akdoğan Yunus,ÜNAL YENER Parameters Estimation for the Unit log-log Distribution. , 2023, ss.224 - 228. 10.17776/csj.1171453
AMA	korkmaz m,Karakaya K,Akdoğan Y,ÜNAL Y Parameters Estimation for the Unit log-log Distribution. . 2023; 224 - 228. 10.17776/csj.1171453
Vancouver	korkmaz m,Karakaya K,Akdoğan Y,ÜNAL Y Parameters Estimation for the Unit log-log Distribution. . 2023; 224 - 228. 10.17776/csj.1171453
IEEE	korkmaz m,Karakaya K,Akdoğan Y,ÜNAL Y "Parameters Estimation for the Unit log-log Distribution." , ss.224 - 228, 2023. 10.17776/csj.1171453
ISNAD	korkmaz, mustafa cagatay vd. "Parameters Estimation for the Unit log-log Distribution". (2023), 224-228. https://doi.org/10.17776/csj.1171453

APA	korkmaz m, Karakaya K, Akdoğan Y, ÜNAL Y (2023). Parameters Estimation for the Unit log-log Distribution. Cumhuriyet Science Journal, 44(1), 224 - 228. 10.17776/csj.1171453
Chicago	korkmaz mustafa cagatay,Karakaya Kadir,Akdoğan Yunus,ÜNAL YENER Parameters Estimation for the Unit log-log Distribution. Cumhuriyet Science Journal 44, no.1 (2023): 224 - 228. 10.17776/csj.1171453
MLA	korkmaz mustafa cagatay,Karakaya Kadir,Akdoğan Yunus,ÜNAL YENER Parameters Estimation for the Unit log-log Distribution. Cumhuriyet Science Journal, vol.44, no.1, 2023, ss.224 - 228. 10.17776/csj.1171453
AMA	korkmaz m,Karakaya K,Akdoğan Y,ÜNAL Y Parameters Estimation for the Unit log-log Distribution. Cumhuriyet Science Journal. 2023; 44(1): 224 - 228. 10.17776/csj.1171453
Vancouver	korkmaz m,Karakaya K,Akdoğan Y,ÜNAL Y Parameters Estimation for the Unit log-log Distribution. Cumhuriyet Science Journal. 2023; 44(1): 224 - 228. 10.17776/csj.1171453
IEEE	korkmaz m,Karakaya K,Akdoğan Y,ÜNAL Y "Parameters Estimation for the Unit log-log Distribution." Cumhuriyet Science Journal, 44, ss.224 - 228, 2023. 10.17776/csj.1171453
ISNAD	korkmaz, mustafa cagatay vd. "Parameters Estimation for the Unit log-log Distribution". Cumhuriyet Science Journal 44/1 (2023), 224-228. https://doi.org/10.17776/csj.1171453