摘要:The characteristic functions ( CHFs ) are derived for GP3 (generalized Pareto) distribution for shape parameters ξ ≠ 0 and ξ = 0 in explicit closed forms. The CHF of 3-parameter Weibull (type-3extreme value distribution (EVD)) is also derived in a closed form by a direct methodology. Moment-generating functions ( MGFs ) of the distributions are also derived and parametric relations of certain basic properties of the distributions are also obtained. Model estimation by the method of L-moments is also provided.