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...

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

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

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...

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

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...

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...

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...

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...

Poisson clumping, or Poisson bursts, is a phenomenon where random events may appear to occur in clusters, clumps, or bursts. Poisson clumping is named...

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

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...

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

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

{\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...

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...

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...

of Proserpine, Queensland, Australia (IATA code PPP) Poisson point process, statistical process Triple P (disambiguation) PPE (disambiguation) This disambiguation...

in stochastic geometry. Take a Poisson point process of rate λ {\displaystyle \lambda } in the plane and make each point be the center of a random set;...

zero-inflated Poisson (ZIP) model mixes two zero generating processes. The first process generates zeros. The second process is governed by a Poisson distribution...

stochastic processes, in particular in Lévy–Itō decomposition of the Lévy processes. The Poisson random measure generalizes to the Poisson-type random...

Brownian motion process, and the Poisson process. Further important examples include the Gamma process, the Pascal process, and the Meixner process. Aside from...

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

entities join the queue over time, often modeled using stochastic processes like Poisson processes. The efficiency of queueing systems is gauged through key performance...