another. The Poisson point process is also called a Poisson random measure, Poisson random point field and Poisson point field. When the process is defined...

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...

stationary point process. To be more specific one calls the above point process a homogeneous Poisson point process. An inhomogeneous Poisson process is defined...

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

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...

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...

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

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...

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...

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

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...

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

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...

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

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

theory, a birth process or a pure birth process is a special case of a continuous-time Markov process and a generalisation of a Poisson process. It defines...

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

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...

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

Nuclear physics Nuclear power Nuclear chain reaction Particle decay Poisson process Radiation therapy Radioactive contamination Radioactivity in biology...

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...

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...

material on standard processes: Poisson point processes, renewal processes, self-exciting processes, and doubly stochastic processes. The second chapter...

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

statistics, Poisson regression is a generalized linear model form of regression analysis used to model count data and contingency tables. Poisson regression...

{\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...

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;...