@article{article_567496, title={Transmuted Gumbel univariate exponential distribution}, journal={Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics}, volume={69}, pages={137–157}, year={2020}, DOI={10.31801/cfsuasmas.567496}, author={Hameldarbandi, Monireh and Yılmaz, Mehmet}, keywords={Gumbel exponential distribution,convex combination,transmutation method,hazard rate function,Exponential Distribution}, abstract={<div> 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. </div>}, number={1}, publisher={Ankara University}