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...
118 KB (15,476 words) - 04:51, 25 April 2024
stationary point process. To be more specific one calls the above point process a homogeneous Poisson point process. An inhomogeneous Poisson process is defined...
29 KB (4,546 words) - 23:34, 8 December 2023
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 (832 words) - 16:58, 19 June 2023
dispersion Negative binomial distribution Poisson clumping Poisson point process Poisson regression Poisson sampling Poisson wavelet Queueing theory Renewal theory...
80 KB (10,959 words) - 01:34, 12 May 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
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 (2,128 words) - 04:29, 9 April 2024
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...
42 KB (6,567 words) - 11:02, 26 May 2024
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...
162 KB (17,935 words) - 11:34, 28 May 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
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) - 19:51, 31 December 2020
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 (524 words) - 10:59, 29 June 2020
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 (2,942 words) - 22:45, 31 March 2024
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) - 20:07, 26 March 2023
Brownian motion process, and the Poisson process. Further important examples include the Gamma process, the Pascal process, and the Meixner process. Aside from...
12 KB (1,715 words) - 12:38, 6 January 2024
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) - 08:24, 17 April 2024
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) - 21:50, 8 March 2023
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 (425 words) - 20:26, 11 June 2023
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...
33 KB (3,989 words) - 11:36, 15 May 2024
complex Poisson point processes out of homogeneous Poisson point processes and can, for example, be used to simulate these more complex Poisson point processes...
1 KB (216 words) - 14:09, 12 November 2021
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...
7 KB (1,008 words) - 15:04, 14 December 2023
event in a Poisson point process, conditional on such an event existing. A simple NumPy implementation is: def sample_zero_truncated_poisson(rate): u =...
6 KB (809 words) - 15:01, 27 March 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) - 19:07, 21 July 2022
Dobiński's formula (category Poisson point processes)
probability theory, Dobiński's formula represents the nth moment of the Poisson distribution with mean 1. Sometimes Dobiński's formula is stated as saying...
7 KB (1,339 words) - 06:52, 22 May 2024
Radioactive decay (redirect from Radioative process)
Nuclear physics Nuclear power Nuclear chain reaction Particle decay Poisson process Radiation therapy Radioactive contamination Radioactivity in biology...
96 KB (10,001 words) - 07:38, 11 May 2024
Moment measure (category Point processes)
{\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...
10 KB (1,457 words) - 16:45, 10 March 2022
Poisson's equation is an elliptic partial differential equation of broad utility in theoretical physics. For example, the solution to Poisson's equation...
16 KB (2,240 words) - 22:28, 20 March 2024
material on standard processes: Poisson point processes, renewal processes, self-exciting processes, and doubly stochastic processes. The second chapter...
5 KB (524 words) - 20:47, 19 December 2020
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...
7 KB (939 words) - 18:20, 8 February 2024
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
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...
14 KB (1,850 words) - 14:59, 20 December 2023