Chris-Jerry Distribution and Its Applications

In this paper, a new one-parameter distribution named Chris-Jerry is suggested from twocomponent mixture of Exponential(θ)distribution and Gamma(3,θ)distribution with mixingproportionp=θθ+2having a flexibility advantage in modeling lifetime data. The statisticalproperties are discussed and the maximum likelihood estimation procedure is used to obtainthe parameter estimate. The Convolution of the product of Pareto random variable with theproposed Chris-Jerry distributed random variable is explored with its marginal density derived.To illustrate the usefulness, three sets of lifetime data are employed and LL, AIC, BIC and K-Sstatistics are obtained for Exponential, Ishita, Akash, Rama, Pranav, Rani, Lindley, Sujatha,Aradhana, Shanker and XGamma and the Chris-Jerry distributions.