Zeitschriftenartikel

On some models of acceptable risk

Abstract

We consider discrete and continuous risk distribution functions. Acceptable risk dis-tribution function is defined and different types of stochastic comparisons are dis-cussed. Acceptable, unacceptable and intermediate regions for the level of loss are determined. The similar characterization is used for describing the loss for the out-comes in the sequence of harmful events. The loss is considered as acceptable, if ei-ther all events result in a loss from the acceptable region or not more than of them result in a loss from the intermediate level. The Laplace transform methods are used for obtaining the probability of survival when harmful events from the Poisson proc-ess are ‘too close’ to each other.