Size Biased Lindley-Quasi Xgamma Distribution Applicable to Survival Times

Abstract

We have formulated a new non-decreasing hazard rate model as a size biased version of Lindley-quasi Xgamma distribution known as size biased Lindley-quasi Xgamma distribution. The mathematical and statistical properties of the newly introduced model have been obtained. Method of maximum likelihood estimation is employed for estimating unknown parameters of proposed model. Simulation study for checking the performance of maximum likelihood estimates is performed. Proposed model and its related models are fitted to two lifetime data sets and goodness of fit of proposed model over its related models to two lifetime data sets is tested. For testing the goodness of fit of our proposed model we have used Kolmogorov D statistic and loss of information measures AIC, BIC, AICC, and HQIC.