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...
117 KB (15,356 words) - 23:22, 19 June 2025
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...
4 KB (834 words) - 03:46, 23 December 2024
dispersion Negative binomial distribution Poisson clumping Poisson point process Poisson regression Poisson sampling Poisson wavelet Queueing theory Renewal theory...
81 KB (11,215 words) - 08:39, 14 May 2025
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...
10 KB (1,422 words) - 09:12, 25 May 2025
Campbell's theorem (probability) (redirect from Moment generating function of a compound Poisson process)
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...
15 KB (2,131 words) - 06:32, 14 April 2025
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...
29 KB (4,595 words) - 17:53, 13 October 2024
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...
1 KB (232 words) - 15:44, 12 May 2021
stochastic processes that by definition possess independent increments are the Wiener process, all Lévy processes, all additive process and the Poisson point process...
3 KB (538 words) - 04:12, 11 July 2025
Exponential distribution (category Poisson point processes)
probability distribution of the distance between events in a Poisson point process, i.e., a process in which events occur continuously and independently at...
43 KB (6,647 words) - 17:34, 15 April 2025
Poisson clumping, or Poisson bursts, is a phenomenon where random events may appear to occur in clusters, clumps, or bursts. Poisson clumping is named...
4 KB (430 words) - 12:46, 24 October 2024
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...
3 KB (398 words) - 16:47, 25 January 2022
Spherical contact distribution function (category Stochastic 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...
9 KB (1,186 words) - 17:11, 28 May 2025
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...
168 KB (18,657 words) - 11:11, 30 June 2025
Shot noise (redirect from Poisson noise)
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...
20 KB (3,001 words) - 22:35, 14 June 2025
complex Poisson point processes out of homogeneous Poisson point processes and can, for example, be used to simulate these more complex Poisson point processes...
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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...
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point process operations is the Poisson point process, The Poisson point process often exhibits a type of mathematical closure such that when a point...
13 KB (1,745 words) - 21:59, 13 October 2024
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...
3 KB (389 words) - 12:26, 30 June 2024
M/M/1 queue (section Processor sharing discipline)
system having a single server, where arrivals are determined by a Poisson process and job service times have an exponential distribution. The model name...
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Radioactive decay (redirect from Radioative process)
by the Poisson distribution, which is discrete. Radioactive decay and nuclear particle reactions are two examples of such aggregate processes. The mathematics...
96 KB (9,898 words) - 14:14, 14 July 2025
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...
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Fault tree analysis (category Process safety)
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...
34 KB (4,036 words) - 14:39, 2 July 2025
of Proserpine, Queensland, Australia (IATA code PPP) Poisson point process, statistical process Triple P (disambiguation) PPE (disambiguation) This disambiguation...
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Boolean model (probability theory) (category Spatial processes)
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;...
2 KB (279 words) - 09:59, 3 March 2023
Zero-inflated model (category Poisson point processes)
zero-inflated Poisson (ZIP) model mixes two zero generating processes. The first process generates zeros. The second process is governed by a Poisson distribution...
14 KB (1,928 words) - 20:39, 26 April 2025
stochastic processes, in particular in Lévy–Itō decomposition of the Lévy processes. The Poisson random measure generalizes to the Poisson-type random...
2 KB (369 words) - 03:35, 18 June 2023
Poisson's equation is an elliptic partial differential equation of broad utility in theoretical physics. For example, the solution to Poisson's equation...
17 KB (2,428 words) - 18:29, 26 June 2025
Round-robin scheduling (category Processor scheduling algorithms)
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...
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Queueing theory (section Birth-death process)
entities join the queue over time, often modeled using stochastic processes like Poisson processes. The efficiency of queueing systems is gauged through key performance...
39 KB (4,807 words) - 21:32, 19 June 2025
test where the null hypothesis is that the data is generated by a Poisson point process and are thus uniformly randomly distributed. If individuals are...
3 KB (461 words) - 16:58, 15 May 2025