A NEW GENERALIZATION OF AREA-BIASED XGAMMA DISTRIBUTION WITH PROPERTIES AND ITS APPLICATION TO CANCER DATA

In this paper, we proposed a new model, “Area Biased Xgamma Distribution”, a generalization of the Xgamma distribution. The various distributional properties survival function, hazard function, mean residual life ,statistical properties, moments, moment generating function and characteristic function, Bonferroni and Lorenz curve, entropy of the new model were studied. The maximum likelihood estimation method is used to estimate the parameter of the area-biased Xgamma distribution. Finally, using three cancer data sets for the illustration and application of the new model.