A new lifetime class with decreasing failure rateis introduced by compounding truncated Geometric distributionand any proper continuous lifetime distribution. The properties of the proposed class are discussed, including a formalproof of its probability density function, distribution function and explicit algebraic formulae for its reliability and failurerate functions. A simple EM-type algorithm for iteratively computing maximum likelihood estimates is presented. A formalequation for Fisher information matrix is derived in order to obtaining the asymptotic covariance matrix. This newclass of distributions generalizes several distributions which have been introduced and studied in the literature.
展开▼
