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Journals / Adıyaman Üniversitesi Fen Bilimleri Dergisi / 2022 / Cilt: 12 - Sayı: 2

Parameter Estimation Procedures for Log Exponential-Power Distribution with Real Data Applications

Gerçek Veri Uygulamaları ile Log Exponential-Power Dağılımı için Parametre Tahmin Prosedürleri

Mustafa Ç. KORKMAZ
Kadir KARAKAYA
Yunus AKDOĞAN
Pages
193–202
Publication Date
2022-12-30
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Also, four real data applications are performed and Kolmogorov-Smirnov statistic results for all estimators are presented.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, some estimation techniques are investigated to estimate two parameters of the log exponential-power distribution.
📊
Key Findings & Data:The maximum likelihood, quantile, least squares, weighted least squares, Anderson-Darling, and Cramer-von Mises estimation methods are studied in detail.
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Conclusion & Impact:Also, four real data applications are performed and Kolmogorov-Smirnov statistic results for all estimators are presented.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Nokta tahmini · Log exponential-power dağılımı · En çok olabilirlik tahmini

Abstract

In this study, some estimation techniques are investigated to estimate two parameters of the log exponential-power distribution. The maximum likelihood, quantile, least squares, weighted least squares, Anderson-Darling, and Cramer-von Mises estimation methods are studied in detail. The efficiency of these estimators is validated through Monte Carlo simulation experiments. Also, four real data applications are performed and Kolmogorov-Smirnov statistic results for all estimators are presented.

Özet

Bu makalede, log exponential-power dağılımının iki parametresini tahmin etmek için çeşitli tahmin yöntemleri araştırılmıştır. En çok olabilirlik, kuantil, en küçük kareler, ağırlıklandırılmış en küçük kareler, Anderson-Darling ve Cramer-von Mises tahmin yöntemleri detaylı olarak incelenmiştir. Bu tahmin edicilerin performanslarını değerlendirmek için Monte Carlo simülasyon deneyleri yapılmıştır. Ayrıca dört gerçek veri uygulaması gerçekleştirilmiş ve tüm tahmin ediciler Kolmogorov-Smirnov istatistiği sonuçları sunulmuştur.

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Cite This Article

KORKMAZ, M. Ç., KARAKAYA, K., AKDOĞAN, Y. (2022). Parameter Estimation Procedures for Log Exponential-Power Distribution with Real Data Applications. Adıyaman Üniversitesi Fen Bilimleri Dergisi, Cilt: 12 - Sayı: 2, 193–202. https://ajindex.com/articles/874122

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