Schürger, Klaus - In: Stochastic Processes and their Applications 21 (1986) 2, pp. 327-338
+m <= X0,n + Xn,n+m + Yn,n+m, m, n >= 1. The main purpo is to give conditions which are sufficient for the a.e. convergence of …. convergence of ((1/n)X0,n) under moment hypotheses concerning (Ym,n) which are considerably weaker than those in Derriennic [4 … sequence (E[Y0,n]) may be allowed to grow almost linearly. We also indicate how the obtained convergence results apply to …