Complete convergence for \(B\)-valued \(L^p\)-mixingale sequences
This paper is concerned with complete convergence for partial sums and randomly indexed partial sums of Banach valued mixingale sequences for which the Banach space satisfies a certain kind of smoothness condition. Section 1 provides sufficient conditions for complete convergence of sums in terms of tail probability conditions on the summands. Section 2 provides extensions to the case of a random indexing.
scientific article; zbMATH DE number 1230052