A note on the recursive joint moments of discounted compound dependent renewal sums

Abstract

In this paper, we present recursive joint moments and a linear predictor of aggregate discounted claims under dependency for an ordinary or delayed renewal claims number process. In addition, we present recursive formulas for the joint moments in the trend renewal process. We compare the predictive value of our linear predictor with the simulated value of exponential and Erlang (2,2) claims inter-occurrence times with constant interest rate.