A Stochastic Present Value Model In Selecting Risk Management Processes

A risk model for cloud processes

Traditionally, risk assessment consists of evaluating the probability of "feared events", corresponding to known threats and attacks, as well as these events' severity, corresponding to their impact on one or more stakeholders. Assessing risks of cloud-based processes is particularly difficult due to lack of historical data on attacks, which has prevented frequency-based identification...

A Stochastic Optimization Model for Groundwater Management

A Stochastic Model for Water Resources Management

Irrigation water management is crucial for agricultural production and livelihood security in many regions and countries throughout the world. Over the past decades, controversial and conflictladen water-allocation issues among competing municipal, industrial and agricultural interests have raised increasing concerns. Particularly, growing population, varying natural conditions and shrinking wa...

A Stochastic Optimization Model for Groundwater Management

Uniform tail asymptotics for the stochastic present value of aggregate claims in the renewal risk model

Consider an insurer who is allowed to make risk-free and risky investments. The price process of the investment portfolio is described as a geometric Lévy process. We study the tail probability of the stochastic present value of future aggregate claims. When the claim-size distribution is of Pareto type, we obtain a simple asymptotic formula which holds uniformly for all time horizons. The same...