Bi-seasonal discrete time risk model

Ruin probability for the bi-seasonal discrete time risk model with dependent claims

“…Then (3) can be derived by induction with induction basis obtained from (6). Equality (2) can be derived in a way similar to that in [8] with only the difference that the coefficients a n used in the proof are different.…”

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

“…According to this theorem, we can calculate the finite-time ruin probability ψ (0) (u, T ) of the initial model for all u ∈ N 0 and T ∈ N. Unfortunately, it is impossible to get formulas for ψ(u) similar to formulas (2) and (3) in the general case because in the case of nonidentically distributed claims, the future of model behavior at each time can be completely new. In paper [4], the general discrete-time risk model was restricted to the model with two kinds of claims. In this model, there are two differently distributed claim amounts that are changing periodically.…”

“…We call such a model the bi-seasonal discrete-time risk model. In [4] (see Theorem 2.3), the following statement is proved for the calculation of the ultimate ruin probability. Theorem 2.…”

“…Equality (26) with u = 0 implies that ϕ(0) = 0. The recursive relation (5) can be derived from the basic equalities (25) and (26) in the same manner as relation (4).…”

Ultimate Time Survival Probability in Three-Risk Discrete Time Risk Model

“….} and t ∈ N. The model given in (3), we call the three-risk discrete time model, and our motivation to investigate it is research is done in [2][3][4][5], where discrete time risk models were investigated with the following occurrence order of claims {X, Y, X, Y, . .…”