Author(s)

Abd El-Moneim A. M. Teamah, Hanan H. El-Damrawy, Shaimaa M. T. Swan

Mathematics Department, Faculty of Science, Tanta University, Tanta, Egypt.

Statistical analysis of lifetime data is a significant topic in social sciences, engineering, reliability, biomedical and others. We use the generalized weighted exponential distribution, as a generator to introduce a new family called generalized weighted exponential-G family, and apply this new generator to provide a new distribution called generalized weighted exponential gombertez distribution. We investigate some of its properties, moment generating function, moments, conditional moments, mean residual lifetime, mean inactivity time, strong mean inactivity time, Rényi entropy, Lorenz curves and Bonferroni. Furthermore, in this model, we estimate the parameters by using maximum likelihood method. We apply this model to a real data-set to show that the new generated distribution can produce a better fit than other classical lifetime models.

Generalized Weighted Exponential-G Family, Gombertez Distribution, Bonferroni and Lorenz Curves, Conditional Moments, Mean Inactivity Time, Mean Residual Lifetime, Maximum Likelihood Estimators

Teamah, A. , El-Damrawy, H. and Swan, S. (2020) Generalized Weighted Exponential-Gompertez Distribution. Applied Mathematics, 11, 97-118. doi: 10.4236/am.2020.112010.