The left-truncated generalized Poisson distribution belongs to the family of the modified power series distributions. Using sufficiency and completeness of £^x. (minx,, $3x0) respectively, when the truncation point is known (resp. unknown), the minimum variance unbiased (M.V.U) estimator for certain functions of the parameter $ (resp. 0, r) involved in… (More)
Following previous works of Chung we are interested in Vinogradov's type inequalities for some multivariate character sums. Using Johnsen's bound on a complete unidimensional character sum we obtain a sharper result in several ranges of parameters .