A generalized Chen distribution with application in reliability

Abstract. In this paper, a new flexible family of distribution is proposed for considering as a class of lifetime distribution. After introducing the general class, an special model of the new family, namely, Arcsine Exponentiated Odd Chen Fr´echet (AEOCh-Fr) distribution is discussed. Some statistical and reliability properties of the distribution are investigated. The model parameters are estimated by the maximum likelihood method. Finally, a real data application about the fatigue life is used to illustrate the usefulness of the proposed distribution in modeling real data. Keywords: Chen distribution, Fr´echet distribution, hazard rate function, maximum likelihood estimation