Ruin probability in the three-seasonal discrete-time risk model

Abstract: This paper deals with the discrete-time risk model with nonidentically distributed claims. We suppose that the claims repeat with time periods of three units, that is, claim distributions coincide at times ${1,4,7,\ldots}$, at times ${2,5,8,\ldots}$, and at times ${3,6,9,\ldots}$. We present the recursive formulas to calculate the finite-time and ultimate ruin probabilities. We illustrate the theoretical results by several numerical examples.