See Wishart distribution on Wiktionary
{ "etymology_text": "Named in honour of Scottish mathematician John Wishart, who formulated the distribution in 1928.", "forms": [ { "form": "Wishart distributions", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Wishart distribution (plural Wishart distributions)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ { "kind": "other", "name": "English entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "topical", "langcode": "en", "name": "Statistics", "orig": "en:Statistics", "parents": [ "Formal sciences", "Mathematics", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "examples": [ { "ref": "2006, Nhu D. Le, James V. Zidek, Statistical Analysis of Environmental Space-Time Processes, Springer, page 142:", "text": "The novelty of this work lies in its incorporation of a general conjugate prior distribution for the covariance matrix, namely a generalized inverted Wishart distribution (GIW). As its name suggests, this distribution, discovered by Brown et al. (1994b) generalizes the well-known inverted Wishart distribution.", "type": "quote" }, { "ref": "2008, Martin Bilodeau, David Brenner, Theory of Multivariate Statistics, Springer, page 85:", "text": "The basic properties of Wishart distributions are studied in Section 7.3.", "type": "quote" }, { "ref": "2015, Sudharman K. Jayaweera, Signal Processing for Cognitive Radios, Wiley, page 459:", "text": "Recall from Appendix B that the Wishart distribution W#x5F;d(#x5C;Sigma,n) is characterized by a positive definite matrix #x5C;Sigma and the degrees of freedom n.", "type": "quote" } ], "glosses": [ "A generalisation of the chi-square distribution to an arbitrary (integer) number of dimensions, or of the gamma distribution to a non-integer number of degrees of freedom." ], "id": "en-Wishart_distribution-en-noun-qkKIy0vl", "links": [ [ "statistics", "statistics" ], [ "chi-square distribution", "chi-square distribution" ], [ "gamma distribution", "gamma distribution" ], [ "degrees of freedom", "degrees of freedom" ] ], "raw_glosses": [ "(statistics) A generalisation of the chi-square distribution to an arbitrary (integer) number of dimensions, or of the gamma distribution to a non-integer number of degrees of freedom." ], "topics": [ "mathematics", "sciences", "statistics" ], "wikipedia": [ "John Wishart", "Wishart distribution" ] } ], "word": "Wishart distribution" }
{ "etymology_text": "Named in honour of Scottish mathematician John Wishart, who formulated the distribution in 1928.", "forms": [ { "form": "Wishart distributions", "tags": [ "plural" ] } ], "head_templates": [ { "args": {}, "expansion": "Wishart distribution (plural Wishart distributions)", "name": "en-noun" } ], "lang": "English", "lang_code": "en", "pos": "noun", "senses": [ { "categories": [ "English countable nouns", "English entries with incorrect language header", "English eponyms", "English lemmas", "English multiword terms", "English nouns", "English terms with quotations", "Pages with 1 entry", "Pages with entries", "en:Statistics" ], "examples": [ { "ref": "2006, Nhu D. Le, James V. Zidek, Statistical Analysis of Environmental Space-Time Processes, Springer, page 142:", "text": "The novelty of this work lies in its incorporation of a general conjugate prior distribution for the covariance matrix, namely a generalized inverted Wishart distribution (GIW). As its name suggests, this distribution, discovered by Brown et al. (1994b) generalizes the well-known inverted Wishart distribution.", "type": "quote" }, { "ref": "2008, Martin Bilodeau, David Brenner, Theory of Multivariate Statistics, Springer, page 85:", "text": "The basic properties of Wishart distributions are studied in Section 7.3.", "type": "quote" }, { "ref": "2015, Sudharman K. Jayaweera, Signal Processing for Cognitive Radios, Wiley, page 459:", "text": "Recall from Appendix B that the Wishart distribution W#x5F;d(#x5C;Sigma,n) is characterized by a positive definite matrix #x5C;Sigma and the degrees of freedom n.", "type": "quote" } ], "glosses": [ "A generalisation of the chi-square distribution to an arbitrary (integer) number of dimensions, or of the gamma distribution to a non-integer number of degrees of freedom." ], "links": [ [ "statistics", "statistics" ], [ "chi-square distribution", "chi-square distribution" ], [ "gamma distribution", "gamma distribution" ], [ "degrees of freedom", "degrees of freedom" ] ], "raw_glosses": [ "(statistics) A generalisation of the chi-square distribution to an arbitrary (integer) number of dimensions, or of the gamma distribution to a non-integer number of degrees of freedom." ], "topics": [ "mathematics", "sciences", "statistics" ], "wikipedia": [ "John Wishart", "Wishart distribution" ] } ], "word": "Wishart distribution" }
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