processes are continuous and the state space is the set of whole 1. Suppose that on average 20 claims arrive every day (i.e. $\lambda = 20$). What is the probability that more than 100 claims number ...

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

These are models for Poisson processes. Goal is to be able to forecast values in a Poisson process that has cyclic fluctuation in the underlying process. This means that there is an underlying ...

This contribution is part of the special series of Inaugural Articles by members of the National Academy of Sciences elected in 2010. We address the problem of the joint statistical inference of ...

It is a well known fact that for the hierarchical model of a Poisson random variable Y whose mean has an Erlang distribution, the unconditional distribution of Y is negative binomial. However, the ...

1 School of Applied Mathematics, Beijing Normal University Zhuhai, Zhuhai, China. 2 School of Science, Ningbo University, Ningbo, China. which is the famous Yamada-Watanabe theorem. It’s an important ...

Abstract: An almost ubiquitous assumption made in the stochastic-analytic approach to study of the quality of user-service in cellular networks is Poisson distribution of base stations, often ...

In this paper, a Bayesian method for piecewise regression is adapted to handle counting processes data distributed as Poisson. A numerical code in Mathematica is developed and tested analyzing ...

Modelling structured multivariate point process data has wide ranging applications like understanding neural activity, developing faster file access systems and learning dependencies among servers in ...