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 ...

Journal of the Royal Statistical Society. Series C (Applied Statistics), Vol. 57, No. 4 (Sep., 2008), pp. 461-471 (11 pages) Data comprising colony counts, or a binary variable representing fertile ...

In many situations, the arrival rate or service rate is determined by a Poisson process whose parameter varies as a function of time. For example, if the arrival rate to a fast food restaurant varies ...

A Markov-modulated Poisson Process (MMPP) is a Poisson process that has its parameter controlled by a Markov process. These arrival processes are typical in communications modeling where time-varying ...

Complex behaviour in many systems arises from the stochastic interactions of spatially distributed particles or agents. Stochastic reaction–diffusion processes are widely used to model such behaviour ...

Dr. James McCaffrey from Microsoft Research presents a complete end-to-end demo of Poisson regression, where the goal is to predict a count of things arriving, such as the number of telephone calls ...

This paper presents new results on the nonhomogeneous bivariate compound Poisson process with a short-term periodic intensity function. The dependence between margins is modeled using the Lévy copula.

CATALOG DESCRIPTION: Fundamentals of random variables; mean-squared estimation; limit theorems and convergence; definition of random processes; autocorrelation and stationarity; Gaussian and Poisson ...