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Point process operation

In probability and statistics, a point process operation or point process transformation is a type of mathematical operation performed on a random object known as a point process, which are often used as mathematical models of phenomena that can be represented as points randomly located in space. These operations can be purely random, deterministic or…

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Overview

Probability Statistics Mathematical operation Random Point processes

20 related topics

Point process notation

Mathematical space Point process notation Set Borel set Random measure

8 related topics

Examples of operations

Countable set Set union Independent and identically distributed Probability distribution Cartesian coordinates

6 related topics

Convergence of point process operations

1 related topics

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Overview

Probability
Statistics
Mathematical operation
Random
Point processes Point process
Mathematical models
Points Point (geometry)
Deterministic
Transforming Transformation (function)
Stochastic geometry
Spatial statistics
Poisson point process
Mathematical limit
Convergence theorems Convergence theorems?action=edit&redlink=1
Conny Palm
Aleksandr Khinchin
Queueing theory
Mean measure Moment measure
Cox point process Cox process
Independent Independence (probability theory)

Point process notation

Examples of operations

Convergence of point process operations

Convergence Convergence (mathematics)

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Point process operation

Nodes40

Edges39

Triples11

Avg. degree1.95

Density0.05

Components1

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Point process operation

Top relations

related to Random displacement and translation · 4

Point process operation → Applying, If, It, This

Important terminology Word statistics

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Important terminology

point process random points operations processes mathematical space poisson used operation number thinning displaystyle textstyle underlying also often resulting convergence

Entity relationships Subject–Predicate–Object triples

Subject	Predicate	Object	Confidence	Src
stochastic geometry	instance of	Point process operations and the resulting point processes are used in the theory of point processes and related fields	0.80	text
spatial statistics.One point process that gives particularly convenient results under random point process operations is the Poisson point process	instance of	Point process operations and the resulting point processes are used in the theory of point processes and related fields	0.80	text
The Poisson point process often exhibits a type of mathematical closure such that when a point process operation is applied to some Poisson point process	instance of	Point process operations and the resulting point processes are used in the theory of point processes and related fields	0.80	text
then provided some conditions on the point process operation	instance of	Point process operations and the resulting point processes are used in the theory of point processes and related fields	0.80	text
the resulting process will be often another Poisson point process operation	instance of	Point process operations and the resulting point processes are used in the theory of point processes and related fields	0.80	text
hence it is often used as a mathematical model.Point process operations have been studied in the mathematical limit as the number of random point process operations applied approaches infinity	instance of	Point process operations and the resulting point processes are used in the theory of point processes and related fields	0.80	text
hard-core processes where points do not exist	instance of	Thinning can be used to create new point processes	0.80	text
Point process operation	related to Random displacement and translation	This	0.60	section
Point process operation	related to Random displacement and translation	If	0.60	section
Point process operation	related to Random displacement and translation	It	0.60	section
Point process operation	related to Random displacement and translation	Applying	0.60	section

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