Some Moment Properties of Renewal Process with Their Application in Risk Theory
Renewal process is an important kind of counting stochastic process,which is widely used in financial risk the-ory,reliability theory,and other research fields.Starting from the proof of limited-value of renewal function being as the mean function of renewal process,this paper further investigates several moment properties of the renewal process,including the properties of arbitrary order moment functions and exponential order moment functions.Building on this foundation,a simple application of the moment properties of the renewal process in risk model theory is presented.
renewal processrenewal functionmoment functionrisk model
万方数据
维普
