A modulated fluid traffic model
A random process {Xt}. Xt at time t takes on a value in {?1, …, ?M}, with probability {?1, …, ?M}. Inter-arrival time Tn is independent with survival function Pr{Tn>t} = FT(t). Draw a picture.
Covariance ?(t) = p(t) ??2(1 - ?)T, where p(t) is the probability that 0 and t are in the same interval, ? means the marginal distribution.