TY - JOUR T1 - Transmuted Gumbel univariate exponential distribution AU - Hameldarbandi, Monireh AU - Yılmaz, Mehmet PY - 2020 DA - June Y2 - 2019 DO - 10.31801/cfsuasmas.567496 JF - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics JO - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. PB - Ankara University WT - DergiPark SN - 1303-5991 SP - 137 EP - 157 VL - 69 IS - 1 LA - en AB - A functional composition of the distribution function of one probability distribution with the inverse distribution function of another is calledthe transmutation map. The present paper is purported to show how thetransmuted distribution can be obtained by using the convex combination offailure probability of two-component systems. The transmuted Gumbel univariate exponential distribution is presented by changing convex combinationparameter. This new distribution is dened and studied. 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