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This paper deals with the discrete-time risk model with nonidenticallydistributed claims. We suppose that the claims repeat with time periods ofthree 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 therecursive formulas to calculate the finite-time and ultimate ruinprobabilities. We illustrate the theoretical results by several numericalexamples.

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