A new perspective of transmuted distribution

Abstract

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 ‡exible 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 ‡exible.

The Transmuted Odd Fréchet-G Family of Distributions: Theory and Applications

“…As prime remark, one can notice that the cdf of the T-G family can be written as a two component mixture: one is the baseline cdf (obtained for λ = 0) and the other is the exponentiated-G cdf (see [5]) with power parameter two (obtained for λ = 1). Numerous studies proved that the simple polynomial structure behind the T-G family can improve the desirable characteristics of the baseline distribution and make the choice of the baseline distribution less determinant (see [11] (Introduction), and the references therein). In addition, the T-G family positively serves to generalize or extend other existing families.…”