Scopus
YÖKSİS Eşleşti
THE INVERSE BURR LOG-LOGISTIC DISTRIBUTION: PROPERTIES, APPLICATIONS AND DIFFERENT METHODS OF ESTIMATION
Reliability: Theory and Applications · Mart 2023
YÖKSİS Kayıtları
The Inverse Burr Log-Logistic Distribution: Properties Applications and Different Methods of Estimation
Reliability: Theory & Applications · 2023 Scopus
DOÇENT KADİR KARAKAYA →
Makale Bilgileri
DergiReliability: Theory and Applications
Yayın TarihiMart 2023
Cilt / Sayfa18 · 500-515
Scopus ID2-s2.0-85202999224
Özet
Lifetime distributions have played a significant role in lifetime data analysis. Despite the numerous distributions in literature, there have been several motivations for developing new ones. In this paper, a new lifetime distribution is proposed. Some important functions of the new distribution, such as probability density, cumulative distribution, survival, hazard, and quantile are derived in closed form. Some distributional properties such as moments, moment generating function, linear representation, probability weighted moments, etc. are obtained. Some estimators such as the least square estimator (LSE), the weighted least square estimator (WLSE), the Anderson-Darling estimator (ADE) and the Cramer-von Mises estimator (CvME) are investigated for three unknown parameters. The efficiency of the estimators is checked via Monte Carlo simulation based on the bias and mean square error criteria. The usability of the new distribution is investigated with two real data sets and empirical results obtained reveal that the new distribution offers a promising fit for the data sets under study.
Yazarlar (3)
1
Festus C. Opone
2
Kadir Karakaya
3
Francis E.U. Osagiede
Anahtar Kelimeler
Bur distribution
log-logistic distribution
parameter estimation
quantile
Kurumlar
Delta State University of Science & Technology, Ozoro
Ozoro Nigeria
Selçuk Üniversitesi
Selçuklu Turkey
University of Benin
Benin Nigeria