On the approximation by convolution of the generalized Poisson measure and the Gaussian distribution. I
We improve some results of the author [Lith. Math. J. 28, No. 3, 284-288 (1988); translation from Litov Mat. Sb. 28, No. 3, 582-588 (1988; Zbl 0651.60027)]. By using the so-called generalized Poisson measures (which in general are the signed measures), we obtain meaningful results without any moment conditions. Moreover, three asymptotic expansions based on the Gaussian distribution and the generalized Poisson measures are given.
scientific article; zbMATH DE number 578653