About: Spherical contact distribution function

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In probability and statistics, a spherical contact distribution function, first contact distribution function, or empty space function is a mathematical function that is defined in relation to mathematical objects known as point processes, which are types of stochastic processes often used as mathematical models of physical phenomena representable as randomly positioned points in time, space or both. More specifically, a spherical contact distribution function is defined as probability distribution of the radius of a sphere when it first encounters or makes contact with a point in a point process. This function can be contrasted with the nearest neighbour function, which is defined in relation to some point in the point process as being the probability distribution of the distance from tha

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rdf:type	disease
rdfs:label	Spherical contact distribution function (en)
rdfs:comment	In probability and statistics, a spherical contact distribution function, first contact distribution function, or empty space function is a mathematical function that is defined in relation to mathematical objects known as point processes, which are types of stochastic processes often used as mathematical models of physical phenomena representable as randomly positioned points in time, space or both. More specifically, a spherical contact distribution function is defined as probability distribution of the radius of a sphere when it first encounters or makes contact with a point in a point process. This function can be contrasted with the nearest neighbour function, which is defined in relation to some point in the point process as being the probability distribution of the distance from tha (en)
dcterms:subject	Spatial analysis Stochastic processes
Wikipage page ID	41575363 (xsd:integer)
Wikipage revision ID	1119713039 (xsd:integer)
Link from a Wikipage to another Wikipage	Random measure Biology Engineering Geology Stochastic processes Physics Point (geometry) Space Ball (mathematics) Spatial analysis Euclidean space Random Telecommunications Abstraction (mathematics) Stochastic processes Borel set Poisson point process Set (mathematics) Mathematical model Non-parametric statistics Factorial moment measure Point process Moment measure Stochastic geometry Point process notation Mathematical objects Scientific Spatial statistics Mathematical function Mathematical space Nearest neighbour function dbr:Palm_distribution
sameAs	Spherical contact distribution function Spherical contact distribution function Spherical contact distribution function Spherical contact distribution function
dbp:wikiPageUsesTemplate	dbt:Main dbt:Math dbt:Mvar dbt:Notelist
has abstract	In probability and statistics, a spherical contact distribution function, first contact distribution function, or empty space function is a mathematical function that is defined in relation to mathematical objects known as point processes, which are types of stochastic processes often used as mathematical models of physical phenomena representable as randomly positioned points in time, space or both. More specifically, a spherical contact distribution function is defined as probability distribution of the radius of a sphere when it first encounters or makes contact with a point in a point process. This function can be contrasted with the nearest neighbour function, which is defined in relation to some point in the point process as being the probability distribution of the distance from that point to its nearest neighbouring point in the same point process. The spherical contact function is also referred to as the contact distribution function, but some authors define the contact distribution function in relation to a more general set, and not simply a sphere as in the case of the spherical contact distribution function. Spherical contact distribution functions are used in the study of point processes as well as the related fields of stochastic geometry and spatial statistics, which are applied in various scientific and engineering disciplines such as biology, geology, physics, and telecommunications. (en)
gold:hypernym	Function
prov:wasDerivedFrom	wikipedia-en:Spherical_contact_distribution_function?oldid=1119713039&ns=0
page length (characters) of wiki page	9044 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Spherical_contact_distribution_function
is Link from a Wikipage to another Wikipage of	Nearest neighbour distribution Stochastic geometry
is foaf:primaryTopic of	wikipedia-en:Spherical_contact_distribution_function

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