On the basis of it, we must perfect examination system of the administrative consignment, found the passing of costs system accompanying duty, and make the theory about covering the subject of ad.

As an extension of the ruin theory, consideration of the risk model with stochastic premium and jump-diffusion surplus process is very realistic.

In this paper, besides the invariable premium income rate, the risk models are allowed to exist another stochastic premium process.

According to the rule of“costs follow the event”, the failing party is obligated to pay reasonable costs of the successful party incurred in arbitration.

A forecasting method for random events of complex systems is developed.

On the basis of classic probability model and probability space(Ω,F,P),this thesis discusses the sufficient and necessary condition of independence about random events.

By using the knowledge of the probability and the statistics,this paper makes the probability analysis and summary on three common random events in the life.

Firstly,the authors in this paper put forward a series of concepts such as random event element, probability of random event element and random event element sets by means of the extension modeling of ran- dom event;and the concept of the extension probability of random event element is also given on the basis of the study of the extension of random event element.

Correlation and independency of random event element are discussed to increase the penetration survivability probability and the hitting probability of missile and improve its combat efficiency.

Firstly,a series of concepts were put forward as random event element,probability of random event element,random event element sets and extension event sets by means of the extension modeling of random event.