Fractional Poisson processes represent an innovative extension of the classical Poisson process, wherein the interarrival times follow heavy-tailed distributions often characterised by the ...

This is a preview. Log in through your library . Abstract A compound Poisson process whose randomized time is an independent Poisson process is called a compound Poisson process with Poisson ...

Long-range dependence induced by heavy tails is a widely reported feature of internet traffic. Long-range dependence can be defined as the regular variation of the variance of the integrated process, ...

The research indicates that these 'baby universes' exhibit regular patterns of behavior over extremely long timescales, similar to a Poisson process—a mathematical model used to describe the ...