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...

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

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...

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...

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...

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...

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...

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

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

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

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

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...

{\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...

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

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...

general functional f of some simple point process, then this Taylor-like theorem for non-Poisson point processes means an expansion exists for the expectation...

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...

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...

not relevant. The process described here is an approximation of a Poisson point process – Poisson processes are also Markov processes. Mark V. Shaney Interacting...

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

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

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

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...

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