Estimation of the probability density parameters of the Values of Inter-event Interval Duration in Recurrent Synchronous Generalized Flow of the Second Order by the Method of Moments

We solve the estimation problem of the probability density parameters of the inter-event interval duration in a synchronous generalized flow of the second order, which can be used as a mathematical model for the arrival processes in queuing systems. The explicit form of the parameter estimates is determined by the method of moments on the basis of the flow observations under the recurrence conditions. The estimates quality is established by using the mode

Estimation of the probability density parameters of the interval duration between events in correlated semi-synchronous event flow of the second order by the method of moments

We consider a correlated semi-synchronous event flow of the second order with two states; it is one of the mathematical models for an incoming stream of claims (events) in modern digital integral servicing networks, telecommunication systems and satellite communication networks. We solve the problem of estimating the probability density parameters of the values of the interval duration between the moments of the events occurrence by the method of moments for general and special cases of setting the flow parameters. The results of statistical experiments performed on a flow simulation model are given