A NEW PERSPECTIVE OF TRANSMUTED DISTRIBUTION

Hameldarbandi, Monireh; YILMAZ, MEHMET

doi:10.31801/cfsuasmas.509899

A NEW PERSPECTIVE OF TRANSMUTED DISTRIBUTION

COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS, cilt.68, sa.1, ss.1144-1162, 2019 (ESCI)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 68 Sayı: 1
Basım Tarihi: 2019
Doi Numarası: 10.31801/cfsuasmas.509899
Dergi Adı: COMMUNICATIONS FACULTY OF SCIENCES UNIVERSITY OF ANKARA-SERIES A1 MATHEMATICS AND STATISTICS
Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
Sayfa Sayıları: ss.1144-1162
Anahtar Kelimeler: Transmuted distribution, convex combination, two-component series and parallel systems, hazard rate function, exponential distribution
Ankara Üniversitesi Adresli: Evet

Özet

Regarding the concept of quadratic rank transmutation, a new distribution with convex combinations of the life distributions of two-component systems (series and parallel systems) whose component lifetimes are not identical is obtained. This proposed distribution has extra parameters compared to the known transmuted distribution. It can also be represented by two different baseline distributions. So, it is very flexible in modeling. A description of the various structural properties of the subject distribution along with its reliability behavior is provided. Finally, a real data analysis is performed for this distribution and it is found that this class is more flexible.