A new flexible univariate probability distribution was defined in this paper. The is so called the ‘exponentiated Gumbel–Weibull {logistic} distribution’ and it arose by using exponentiated Gumbel to generate a generalized Weibull logit function or quantile of logistic as link. observed be both unimodal bimodal well exhibits various shape tail properties consistent with data arising from severa...

Knowledge of the dependence between random variables is necessary in area risk assessment and evaluation. Some existing Archimedean copulas, namely Clayton Gumbel allow for higher correlations on extreme left right, respectively. In this study, we use idea convex combinations to build a hybrid Clayton–Gumbel–Frank copula that provides all scenarios from copulas. The corresponding density condit...

A new G family of probability distributions called the type I quasi Lambert is defined and applied for modeling real lifetime data. Some bivariate families using "Farlie-Gumbel-Morgenstern copula", "modified Farlie-Gumbel-Morgenstern "Clayton copula" "Renyi's entropy are derived. Three characterizations presented. its statistical properties derived studied. The maximum likelihood estimation, pr...

In the framework of the regional analysis of hydrological extreme events, a probabilistic mixture model, given by a convex combination of two Gumbel distributions, is proposed for rainfall extremes modelling. The papers concerns with statistical methodology for parameter estimation. With this aim, theoretical expressions of the L-moments of the mixture model are here defined. The expressions ha...