Transmuted Gumbel univariate exponential distribution

Authors : Monireh Hameldarbandi, Mehmet YILMAZ

Pages : 137-157

Doi:10.31801/cfsuasmas.567496

View : 12 | Download : 10

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :A functional composition of the distribution function of one prob ability distribution with the inverse distribution function of another is called  the transmutation map. The present paper is purported to show how the  transmuted distribution can be obtained by using the convex combination of  failure probability of two-component systems. The transmuted Gumbel uni variate exponential distribution is presented by changing convex combination  parameter. This new distribution is dened and studied. Some mathematical  properties of this distribution including the generating function and ordinary  moments are derived. The survival, hazard rate and mean residual life func tions are discussed. Finally, three applications to real data are presented.
Keywords : Gumbel exponential distribution, convex combination, transmutation method, hazard rate function, Exponential Distribution