TYPE II GENERALIZED TOPP-LEONE DAGUM DISTRIBUTION FOR FAILURE TIMES DATA

In this paper, we introduce a five parameter lifetime model called the type II generalized Topp-Leone Dagum distribution. The proposed distribution is a generalization of three parameter Dagum distribution (Type I) using the genesis of type II generalized Topp-Leone family of distributions studied by Hassan et al. (2019). We have obtained some reliability measures like reliability function, hazard rate function, reverse hazard rate function, cumulant hazard rate function, mean waiting time, mean past life time, mean deviation, mean residual life function, second failure rate function for the proposed distribution. We also have derived different mathematical and statistical properties of this distribution including mean, variance, moment generating function, characteristic function, cumulant generating function, inverted moments, central moments, incomplete moments, conditional moments, probability weighted moments, order statistics, generalized entropy, Lorenz and Bonferroni curve and Zenga index. Parameter estimation using the maximum likelihood estimation method for the proposed distribution. Finally, we have demonstrated the suitability of the proposed model using two real data sets.