commun. fac. sci. univ. ank. ser. a1 math. stat.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

1303-5991 2618-6470

Ankara University

10.31801/cfsuasmas.509899

A new perspective of transmuted distribution

https://orcid.org/0000-0002-3543-3709

Hameldarbandı

Monireh

https://orcid.org/0000-0002-9762-6688

Yılmaz

Mehmet

02 01 2019

68 1 1144 1162 02 02 2018 10 01 2018

1948

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics

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.

Transmuted distribution convex combination two-component series and parallel systems hazard rate function exponential distribution

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