Scopus
🔓 Açık Erişim YÖKSİS Eşleşti
Unit New Half Logistic Distribution: Theory, Estimation, and Applications with Novel Regression Analysis
Statistics Optimization and Information Computing · Temmuz 2025
YÖKSİS Kayıtları
Unit New Half Logistic Distribution: Theory, Estimation, and Applications with Novel Regression Analysis
Statistics, Optimization & Information Computing · 2025 Scopus
DOÇENT KADİR KARAKAYA →
Makale Bilgileri
DergiStatistics Optimization and Information Computing
Yayın TarihiTemmuz 2025
Cilt / Sayfa14 · 526-540
Scopus ID2-s2.0-105014798415
Erişim🔓 Açık Erişim
Özet
In this paper, a new unit distribution is introduced. Some statistical properties of the proposed distribution are analyzed, including moments, Bonferroni and Lorenz curves, etc. Six estimation methods are investigated to estimate the three parameters of the proposed distribution. The performance of these estimators is compared using bias, mean square error, average absolute bias, and mean relative error using the Monte Carlo simulation. In addition, some real data analysis is performed using data sets on the amount of water from the California Shasta reservoir, the average failure times of a fleet of air conditioning systems, and skewed to-right data. A novel regression analysis is proposed based on the new distribution. A practical example illustrates its effectiveness and applicability compared to existing methods, including the beta, Kumaraswamy, and log-extended exponential geometric regression analyses.
Yazarlar (2)
1
Kadir Karakaya
2
Şule Sağlam
Anahtar Kelimeler
Beta regression analysis
bounded distribution
maximum likelihood estimation
Monte Carlo simulation
OECD data
Kurumlar
Selçuk Üniversitesi
Selçuklu Turkey