and related fields, a Poisson point process (also known as: Poisson random measure, Poisson random point field and Poisson point field) is a type of mathematical...

A compound Poisson process is a continuous-time stochastic process with jumps. The jumps arrive randomly according to a Poisson process and the size of...

dispersion Negative binomial distribution Poisson clumping Poisson point process Poisson regression Poisson sampling Poisson wavelet Queueing theory Renewal theory...

specifically for the Poisson point process and gives a method for calculating moments as well as the Laplace functional of a Poisson point process. The name of...

identical for the Poisson point process can be used to statistically test if point process data appears to be that of a Poisson point process. For example...

example of a point process is the Poisson point process, which is a spatial generalisation of the Poisson process. A Poisson (counting) process on the line...

probability theory, a mixed Poisson process is a special point process that is a generalization of a Poisson process. Mixed Poisson processes are simple example...

point process operations is the Poisson point process, The Poisson point process often exhibits a type of mathematical closure such that when a point...

identical for the Poisson point process can be used to statistically test if point process data appears to be that of a Poisson point process. For example...

probability distribution of the distance between events in a Poisson point process, i.e., a process in which events occur continuously and independently at...

Intensity of counting processes Poisson point process (example for a counting process) Ross, S.M. (1995) Stochastic Processes. Wiley. ISBN 978-0-471-12062-9...

theory, a Cox process, also known as a doubly stochastic Poisson process is a point process which is a generalization of a Poisson process where the intensity...

complex Poisson point processes out of homogeneous Poisson point processes and can, for example, be used to simulate these more complex Poisson point processes...

stochastic processes that by definition possess independent increments are the Wiener process, all Lévy processes, all additive process and the Poisson point process...

processes include the Wiener process or Brownian motion process, used by Louis Bachelier to study price changes on the Paris Bourse, and the Poisson process...

Shot noise or Poisson noise is a type of noise which can be modeled by a Poisson process. In electronics shot noise originates from the discrete nature...

system having a single server, where arrivals are determined by a Poisson process and job service times have an exponential distribution. The model name...

{\text{Cov}}[{N}(A),{N}(B)]=M^{2}(A\times B)-M^{1}(A)M^{1}(B)} For a general Poisson point process with intensity measure Λ {\displaystyle \textstyle \Lambda } the...

distribution is negative binomial distribution. The Poisson distribution is a result of a process where the time (or an equivalent measure) between events...

Dirichlet process (DDP) provides a non-parametric prior over evolving mixture models. A construction of the DDP built on a Poisson point process. The concept...

by the Poisson distribution, which is discrete. Radioactive decay and nuclear particle reactions are two examples of such aggregate processes. The mathematics...

arrival process (MAP or MArP) is a mathematical model for the time between job arrivals to a system. The simplest such process is a Poisson process where...

as Poisson point processes. The output of an AND gate is calculated using the unavailability (Q1) of one event thinning the Poisson point process of the...

among the jobs already present." For Poisson processes the property is often referred to as the PASTA property (Poisson Arrivals See Time Averages) and states...

event in a Poisson point process, conditional on such an event existing. A simple NumPy implementation is: def sample_zero_truncated_poisson(rate): u =...

Poisson's equation is an elliptic partial differential equation of broad utility in theoretical physics. For example, the solution to Poisson's equation...

by process and network schedulers in computing. As the term is generally used, time slices (also known as time quanta) are assigned to each process in...

a system where arrivals form a single queue and are governed by a Poisson process, there are c servers, and job service times are exponentially distributed...

repairable systems in reliability engineering. Poisson point process is a particular case of GRP. The G-renewal process is introduced by Kijima and Sumita through...

the theory of random processes, where they form many important point processes such as Poisson point processes and Cox processes. Random measures can...