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In statistics, a matrix gamma distribution is a generalization of the gamma distribution to positive-definite matrices. It is a more general version of the Wishart distribution, and is used similarly, e.g. as the conjugate prior of the precision matrix of a multivariate normal distribution and matrix normal distribution. The compound distribution resulting from compounding a matrix normal with a matrix gamma prior over the precision matrix is a generalized matrix t-distribution. This reduces to the Wishart distribution with

Attributes	Values
rdf:type	yago:WikicatContinuousDistributions yago:WikicatMultivariateContinuousDistributions yago:Abstraction100002137 yago:Arrangement105726596 yago:Arrangement107938773 yago:Array107939382 yago:Cognition100023271 yago:Distribution105729036 yago:Group100031264 yago:Matrix108267640 yago:PsychologicalFeature100023100 yago:Structure105726345 yago:WikicatProbabilityDistributions yago:WikicatRandomMatrices
rdfs:label	Distribució matriu gamma (ca) Matrix gamma distribution (en)
rdfs:comment	En estadística, una distribució matriu gamma és una generalització de la distribució gamma a matrius definides positives. És una versió més general de la distribució de Wishart i s'utilitza de manera similar, per exemple, com a de la d'una distribució normal multivariable i de la . La distribució composta resultant de combinar una matriu normal amb una matriu gamma prèvia a la matriu de precisió és una . Això redueix a la distribució de Wishart: (ca) In statistics, a matrix gamma distribution is a generalization of the gamma distribution to positive-definite matrices. It is a more general version of the Wishart distribution, and is used similarly, e.g. as the conjugate prior of the precision matrix of a multivariate normal distribution and matrix normal distribution. The compound distribution resulting from compounding a matrix normal with a matrix gamma prior over the precision matrix is a generalized matrix t-distribution. This reduces to the Wishart distribution with (en)
name	Matrix gamma (en)
dcterms:subject	Continuous distributions Multivariate continuous distributions Random matrices
Wikipage page ID	35397405 (xsd:integer)
Wikipage revision ID	1053516076 (xsd:integer)
Link from a Wikipage to another Wikipage	Inverse matrix gamma distribution Matrix (mathematics) Gamma distribution Multivariate normal distribution Conjugate prior Statistics Matrix normal distribution Matrix t-distribution Wishart distribution Continuous distributions Multivariate continuous distributions Positive-definite matrix Random matrices Real number Generalized matrix t-distribution Scale parameter Multivariate gamma function Shape parameter Scale matrix Compound distribution Precision matrix
sameAs	Matrix gamma distribution Matrix gamma distribution Matrix gamma distribution Matrix gamma distribution Matrix gamma distribution
support	positive-definite real matrix (en)
dbp:wikiPageUsesTemplate	dbt:ISBN dbt:ProbDistributions dbt:Reflist dbt:Probability_distribution
type	density (en)
has abstract	En estadística, una distribució matriu gamma és una generalització de la distribució gamma a matrius definides positives. És una versió més general de la distribució de Wishart i s'utilitza de manera similar, per exemple, com a de la d'una distribució normal multivariable i de la . La distribució composta resultant de combinar una matriu normal amb una matriu gamma prèvia a la matriu de precisió és una . Això redueix a la distribució de Wishart: (ca) In statistics, a matrix gamma distribution is a generalization of the gamma distribution to positive-definite matrices. It is a more general version of the Wishart distribution, and is used similarly, e.g. as the conjugate prior of the precision matrix of a multivariate normal distribution and matrix normal distribution. The compound distribution resulting from compounding a matrix normal with a matrix gamma prior over the precision matrix is a generalized matrix t-distribution. This reduces to the Wishart distribution with Notice that in this parametrization, the parameters and are not identified; the density depends on these two parameters through the product . (en)
parameters	Shape parameter scale (en) scale parameter (en)
pdf	* is the multivariate gamma function. (en)
prov:wasDerivedFrom	wikipedia-en:Matrix_gamma_distribution?oldid=1053516076&ns=0
page length (characters) of wiki page	2757 (xsd:nonNegativeInteger)
foaf:isPrimaryTopicOf	wikipedia-en:Matrix_gamma_distribution
is Link from a Wikipage to another Wikipage of	Inverse matrix gamma distribution Gamma distribution List of statistics articles Multivariate gamma distribution
is Wikipage redirect of	Multivariate gamma distribution
is foaf:primaryTopic of	wikipedia-en:Matrix_gamma_distribution

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