In this paper we consider the ruin probability for a risk process with time
-correlated claims in the compound binomial model. It is assumed that every
main claim will produce a by-claim but the occurrence of the by-claim may
be delayed. Recursive formulas for the finite time ruin probabilities are o
btained and explicit expressions for ultimate ruin probabilities are given
in two special cases. (C) 2001 Elsevier Science B.V. All rights reserved.