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Dergiler / Cumhuriyet Science Journal / 2023 / Cilt: 44 - Sayı: 1

Parameters Estimation for the Unit log-log Distribution

Mustafa Ç. KORKMAZ
Kadir KARAKAYA
Yunus AKDOĞAN
Yener ÜNAL
Sayfa
224–228
Yayın Tarihi
2023-03-26
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Results of the Kolmogorov-Smirnov statistics are reported for all estimators in practical applications.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, point estimation problem of two unknown parameters of the unit log-log distribution is examined.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:Results of the Kolmogorov-Smirnov statistics are reported for all estimators in practical applications.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Unit log-log distribution · Estimation · Monte Carlo simuation

Abstract

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.

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Bu Makaleye Atıf Yap

KORKMAZ, M. Ç., KARAKAYA, K., AKDOĞAN, Y., ÜNAL, Y. (2023). Parameters Estimation for the Unit log-log Distribution. Cumhuriyet Science Journal, Cilt: 44 - Sayı: 1, 224–228. https://ajindex.com/articles/885439

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Kaynakça (15)

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