A New One Parameter Continuous Distribution using Three Component Distributions with Application to Real Life Data

Abstract

A new one parameter lifetime distribution named “Fuyi distribution” for modeling lifetime data has been introduced. Some important mathematical properties of the proposed distribution including its shape, moments, skewness, kurtosis, coefficient of dispersion, index dispersion, quantile function, stochastic ordering, Bonferroni and Lorenz curves, moment generating function, characteristics function, distribution of ordered statistics, Renyi entropy measure, survival and hazard rate function, stress-strength reliability have been discussed. The estimation of its parameter has been discussed using maximum likelihood estimation. The usefulness and the applicability of the proposed distribution have been discussed and illustrated with two real lifetime data sets from medical science and environmental.