On the renewal measure for Gaussian sequences
Let \(\xi_ 1,\xi_ 2,..\). be a Gaussian sequence, let \(U(t)=\sum^{\infty}_{1}P(\xi_ n\leq t)\) be the expected number of values of this sequence which do not exceed t. The author investigates the asymptotic behaviour of U(t) as \(t\to \infty\) under certain assumptions such as regular variation of E \(\xi\) \({}_ n\) and var \(\xi\) \({}_ n\).
scientific article; zbMATH DE number 3967615