A modification in generalized classes of distributions: A new Topp-Leone class as an example
COMMUNICATIONS IN STATISTICS-THEORY AND METHODS, cilt.50, sa.19, ss.4548-4570, 2021 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 50 Sayı: 19
- Basım Tarihi: 2021
- Doi Numarası: 10.1080/03610926.2020.1719419
- Dergi Adı: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Business Source Elite, Business Source Premier, CAB Abstracts, Compendex, Veterinary Science Database, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.4548-4570
- Anahtar Kelimeler: Beta family, Kumaraswamy family, Kummer beta generalized family, Topp-Leone family, Topp-Leone exponential distribution, reliability in the multicomponent stress-strength model, MCMC, FAMILY, RELIABILITY, MOMENTS
- Hacettepe Üniversitesi Adresli: Evet
Özet
In this article, we have proposed a wider class of distributions by modifying the distribution function of the baseline density. This new class is a generalization of many well-known generators such as beta family, Kumaraswamy family, Kummer beta generalized family and Topp-Leone family. Furthermore, we have introduced a subcase, known as G-Fixed-Topp-Leone class, with different properties and have provided the expression for the reliability in the multicomponent stress-strength model. Additionally, we have studied the exponential-fixed-Topp-Leone distribution as an example; some structural properties of this three-parameter exponential distribution are driven which also include the derivations of incomplete moments, mean deviation, measures of uncertainty, reliability in multicomponent stress-stress model, order statistics, Lorenz, Bonferroni and Zenga curves. The estimation of the unknown parameters is done by the method of maximum likelihood. We have also included a real-life application of this new three-parameter exponential distribution to two datasets. A numerical study for the reliability in the multicomponent stress-strength model for the exponential-fixed-Topp-Leone distribution, using the Markov Chain and Monte Carlo (MCMC) method, is also performed.