A New Extended Geometric Distribution: Properties, Regression Model, and Actuarial Applications

In this paper, a new modified version of geometric distribution is proposed. The newly introduced model called transmuted record type (TRTG) distribution. TRTG good alternative to the negative binomial, Poisson and distributions in modeling real data encountered several applied fields. main statistical properties were obtained. We determined measures value at risk tail for These are important quantities actuarial sciences portfolio optimization under uncertainty. parameters estimated via maximum likelihood, moments, proportions, Bayesian estimation methods, simulation results explore their performance. Furthermore, count regression based on was Four applications adopted illustrate applicability its model. showed empirically that outperforms some discrete models such as geometric, Burr, Chen, distributions.