in this paper, we consider admissible estimation of the parameter ?r in the gamma distribution with truncated parameter space under entropy loss function. we obtain the classes of admissible estimators. the result can be applied to estimation of parameters in the normal, lognormal, pareto, generalized gamma, generalized laplace and other distributions.

We study the moment generating function of disk counting statistics a two-dimensional determinantal point process which generalizes complex Ginibre process. This involves an n×n determinant whose weight is supported on whole plane, rotation-invariant, and has discontinuities along circles centered at 0. These can be thought as analogue jump-type Fisher-Hartwig singularities. In this paper, we o...

A new uniform asymptotic expansion for the incomplete gamma function Γ(a, z) valid for large values of z was given by the author in J. Comput. Appl. Math. 148 (2002) 323–339. This expansion contains a complementary error function of an argument measuring transition across the point z = a, with easily computable coefficients that do not involve a removable singularity in the neighbourhood of thi...