Description: This paper endeavors to obtain the explicit formulas of the probability of ruin in a Markov-modulated model where claim intensities, claim sizes and premiums vary according to a Markovian environment.

Description: This is the abstract for the presentation on the distribution of the total dividend payments in the MAP risk model with multi-threshold dividend strategy.

Description: Recently there have been several studies on the dividend payments prior to ruin in various risk models. By employing some new obtained results in the actuarial literature, this presentation analyzes the distribution of the total dividend payments in a risk model with multi-threshold dividend strategy, where the claim arrivals are modeled by a Markovian arrival process [MAP]. A piecewise integro-differential equation in matrix form is derived and solved analytically for the moments of present value of the total dividends prior to ruin. The presentation also discusses the differences between its method and other existing ones. An example with exponentially distributed claim amounts is illustrated numerically.

Description: This abstract describes a paper that considers a general risk model in which both the claim and income gain arrivals follow Poisson processes.

Description: This presentation considers a stochastic model for a target benefit pension fund in continuous time.

Description: This abstract describes a paper that studies statistical models for records of data breaches due to cyber security incidents since 2005 collected by Privacy Rights Clearinghouse.