On a discrete-time risk model with general income and time-dependent claims

On a discrete-time risk model with delayed claims and dividends

In this paper, we study the discounted free Gerber-Shiu function for the compound binomial risk model with by-claims and randomized dividend policy. Specifically, explicit expression for the discounted free Gerber-Shiu function is obtained. This result allows us to derive formulae for some useful insurance quantities, including the ruin probability, the probability function of the deficit at ru...

Dynamics of a discrete-time plant-herbivore model

On a discrete-time risk model with claim correlated premiums

This paper proposes a discrete-time risk model that has a centain type of correlation between premiums and claim amounts. It is motivated by the well-known No Claims Discount system or bonus-malus system in the car insurance industry. Such a system penalises policyholders at fault in accidents by surcharges, and rewards claim-free years by discounts. For simplicity, only two levels of premium a...

On a Discrete Interaction Risk Model with Delayed Claims

We study a discrete-time interaction risk model with delayed claims within the framework of the compound binomial model. Using the technique of generating functions, we derive both a recursive formula and a defective renewal equation for the expected discounted penalty function. As applications, the probabilities of ruin and the joint distributions of the surplus one period to ruin and the defi...

On the discounted penalty function in a discrete time renewal risk model with general interclaim times

Wu X, Li S. On the discounted penalty function in a discrete time renewal risk model with general interclaim times. Scandinavian Actuarial Journal. In this paper a discrete time renewal risk model with arbitrary interclaim times is discussed. We show that the expected discounted penalty function satisfies a recursive formula. In particular, the probability generating function of the time of rui...