• Corpus ID: 250334274

Multi seasonal discrete time risk model revisited

@inproceedings{Grigutis2022MultiSD,
  title={Multi seasonal discrete time risk model revisited},
  author={Andrius Grigutis and Jonas Jankauskas and Jonas vSiaulys},
  year={2022}
}
. In this work we set up the distribution function of M := sup n > 1 P ni =1 ( Z i − 1), where the random walk P ni =1 Z i , n ∈ N , is generated by N periodically occurring distributions and the integer-valued and non-negative random variables Z 1 , Z 2 , . . . are independent. The considered random walk generates so-called multi seasonal discrete time risk model, and a known distribution of random variable M enables to calculate ultimate time ruin or survival probability. Verifying obtained… 
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References

SHOWING 1-10 OF 34 REFERENCES

On 2 × 2 Determinants Originating from Survival Probabilities in Homogeneous Discrete Time Risk Model

. We analyse 2 × 2 Hankel-like determinants D n that arise in search of initial values for the ultimate time survival probability ϕ ( u ) = P ( ∩ ∞ n =1 { W ( n ) > 0 } ) in homogeneous discrete time

Recurrent Sequences Play for Survival Probability of Discrete Time Risk Model

In this article we investigate a homogeneous discrete time risk model with a generalized premium income rate which can be any natural number. We derive theorems and give numerical examples for finite

Bi-seasonal discrete time risk model

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

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

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

In this paper, we prove recursive formulas for ultimate time survival probability when three random claims X , Y , Z in the discrete time risk model occur in a special way. Namely, we suppose that

Risk Theory in a Periodic Environment: The Cramér-Lundberg Approximation and Lundberg's Inequality

Various upper and lower bounds of Lundberg type for the ruin probabilities are derived for both the periodic and the Markov-modulated model, and by time-reversion, the results apply also to periodic M / G /1 queues.

Probabilité de ruine éventuelle dans un modèle de risque à temps discret

We continue the study of the discrete-time risk model introduced by Picard et al. (2003). The cumulative loss process (S t ) t∊ℕ has independent and stationary increments, the increments per unit of

A nonhomogeneous risk model for insurance

Ruin problems for a discrete time risk model with random interest rate

The convergence of the discounted surplus process is proved by using martingale techniques, an expression of ruin probability is obtained, and bounds for ruin probability are included.

Mathematical Fun with the Compound Binomial Process

Abstract The compound binomial model is a discrete time analogue (or approximation) of the compound Poisson model of classical risk theory. In this paper, several results are derived for the