Asymptotic expansions for distributions of sums of independent random elements of a Hilbert space
Let \(S_ n\) be a sum of n independent random elements with values in a real separable Hilbert space H, \(w:H\to R^ 1\) be a polynomial of second order. In the paper under review asymptotic expansions of the probability \(P\{w(S_ n)<r\}\) are obtained.
random elements with values in a real separable Hilbert space
scientific article; zbMATH DE number 3915294