摘要：Let be a sequence of real valued random variables, and . Let be a sequence of real valued random variables which are independent of ’s. Denote by Kesten-Spitzer random walk in random scenery, where means the unique integer satisfying . It is assumed that ’s belong to the domain of attraction of a stable law with index . In this paper, by employing conditional argument, we investigate large deviation inequalities, some sufficient conditions for Chover-type laws of the iterated logarithm and the cluster set for random walk in random scenery . The obtained results supplement to some corresponding results in the literature.
