In today's world of financial uncertainty, one major public concern is to assess (and possibly
improve) the stability of companies that take on risks. Actuaries have been aware of that …

The aggregate claims are modeled as a compound binomial process, and the individual
claim amounts are integer-valued. We study f (x, y; u), the “discounted” probability of ruin for …

In this paper, we study ruin probabilities in two generalized risk models. The effects of timing
of payments and interest on the ruin probabilities in the models are considered. The rates of …

In this paper, we present a compound Markov binomial model which is an extension of the
compound binomial model proposed by Gerber (1988a, b) and further examined by Shiu …

This paper examines the problem of ruin in the classical compound binomial and compound
Poisson risk models. Our primary purpose is to extend to those models an exact formula …

Bibliography Page 1 Bibliography [1] Abadov, ZA (1984) Asymptotical Expansions with Explicit
Estimation of Constants for Exponential Moments of Sums of Random Variables Defined on a …

This book presents basic stochastic processes, stochastic calculus including Lévy processes
on one hand, and Markov and Semi Markov models on the other. From the financial point of …

In this paper, we investigate dependent risk models in which the dependence structure is
defined by an Archimedean copula. Using such a structure with specific marginals, we …

Consider a discrete time risk process based on the compound binomial model. The insurer
pays a dividend of 1 with a probability q0 when the surplus is greater than or equal to a non …

We consider a classical surplus process modified by the action of a constant force of interest.
We derive recursive algorithms for the calculation of the probability of ruin in finite time. We …