"Wishart distribution" meaning in All languages combined

See Wishart distribution on Wiktionary

Noun [English]

Forms: Wishart distributions [plural]
Etymology: Named in honour of Scottish mathematician John Wishart, who formulated the distribution in 1928. Head templates: {{en-noun}} Wishart distribution (plural Wishart distributions)
  1. (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. Wikipedia link: John Wishart, Wishart distribution Categories (topical): Statistics
    Sense id: en-Wishart_distribution-en-noun-qkKIy0vl Categories (other): English entries with incorrect language header, Pages with 1 entry, Pages with entries Topics: mathematics, sciences, statistics

Inflected forms

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  "etymology_text": "Named in honour of Scottish mathematician John Wishart, who formulated the distribution in 1928.",
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      "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."
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        "(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."
      ],
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        "statistics"
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          "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"
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        "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."
      ],
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      ],
      "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."
      ],
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        "statistics"
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This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2024-12-01 from the enwiktionary dump dated 2024-11-21 using wiktextract (95d2be1 and 64224ec). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.

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