A type of limit theorems for random truncated functions Sequence of mth-order nonhomogeneous markov chains on Generalized random selection systems (pp. 60-75)

摘要

In this paper, a class of strong limit theorems for the sequence of multivariaterandom truncated functions of an mth-order nonhomogeneous Markov chain on thegeneralized random selection system are established by constructing the consistentdistribution functions and a nonnegative super-martingale. As corollaries, some stronglaws of large numbers represented by inequalities for the mth-order Markov chain onthe generalized random selection system are obtained.