multivariate normal distribution

generalization of the one-dimensional normal distribution to higher dimensions
Thing general Q1149000
multivariate normal distribution
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multivariate normal distribution

Summary

multivariate normal distribution ranks in the top 1% of general entities by monthly Wikipedia readership (1,619 views/month).[1]

Key Facts

  • multivariate normal distribution's image is recorded as MultivariateNormal.png[2].
  • multivariate normal distribution's GND ID is recorded as 4227589-1[3].
  • multivariate normal distribution's subclass of is recorded as elliptical distribution[4].
  • multivariate normal distribution's subclass of is recorded as multivariate probability distribution[5].
  • multivariate normal distribution's subclass of is recorded as matrix normal distribution[6].
  • multivariate normal distribution's Freebase ID is recorded as /m/0d9xb[7].
  • multivariate normal distribution's described at URL is recorded as https://doi.org/10.1016%2Fj.jmva.2008.07.006[8].
  • multivariate normal distribution's described by source is recorded as ISO 3534-1:2006(en) Statistics — Vocabulary and symbols — Part 1: General statistical terms and terms used in probability[9].
  • multivariate normal distribution's defining formula is recorded as f(\boldsymbol{x}) = (2 \pi)^{-n/2} (\det \boldsymbol{\Sigma})^{-1/2} \mathrm{e}^{-\frac{1}{2}(\boldsymbol{x} - \boldsymbol{\mu})^{\mathrm{T}} \boldsymbol{\Sigma}^{-1} (\boldsymbol{x} - \boldsymbol{\mu})}[10].
  • multivariate normal distribution's MathWorld ID is recorded as MultivariateNormalDistribution[11].
  • multivariate normal distribution's on focus list of Wikimedia project is recorded as Wikipedia:Vital articles/Level/4[12].
  • multivariate normal distribution's maintained by WikiProject is recorded as WikiProject Mathematics[13].
  • multivariate normal distribution's Microsoft Academic ID is recorded as 177384507[14].
  • multivariate normal distribution's Brilliant Wiki ID is recorded as multivariate-normal-distribution[15].
  • multivariate normal distribution's in defining formula is recorded as f(\boldsymbol{x})[16].
  • multivariate normal distribution's in defining formula is recorded as \boldsymbol{\mu}[17].
  • multivariate normal distribution's in defining formula is recorded as \boldsymbol{\Sigma}[18].
  • multivariate normal distribution's in defining formula is recorded as \det \boldsymbol{A}[19].
  • multivariate normal distribution's in defining formula is recorded as \boldsymbol{A}^{-1}[20].
  • multivariate normal distribution's OpenAlex ID is recorded as C177384507[21].
  • multivariate normal distribution's Encyclopedia of China is recorded as 18615[22].
  • multivariate normal distribution's support of a function is recorded as x_i \in \mathbb{R}[23].
  • multivariate normal distribution's mean of a probability distribution is recorded as \boldsymbol{\mu}[24].

Why It Matters

multivariate normal distribution ranks in the top 1% of general entities by monthly Wikipedia readership (1,619 views/month).[1] It has Wikipedia articles in 21 language editions, a strong signal of global cultural recognition.[25] It is known by 20 alternative names across languages and contexts.[26]

References

Programmatic citations — every numbered marker resolves to a verifiable graph row below.

Direct Wikidata claims

  1. [2] . wikidata.org.
  2. [3] . wikidata.org.
  3. [4] . wikidata.org.
  4. [5] . wikidata.org.
  5. [6] . wikidata.org.
  6. [7] . Freebase Data Dumps. wikidata.org.
  7. [8] . wikidata.org.
  8. [9] . wikidata.org.
  9. [10] . online.stat.psu.edu. online.stat.psu.edu. Provenance: wikidata.org.
  10. [11] . wikidata.org.
  11. [12] . wikidata.org.
  12. [13] . wikidata.org.
  13. [14] . wikidata.org.
  14. [15] . wikidata.org.
  15. [16] . wikidata.org.
  16. [17] . wikidata.org.
  17. [18] . wikidata.org.
  18. [19] . wikidata.org.
  19. [20] . wikidata.org.
  20. [21] . OpenAlex. Retrieved . docs.openalex.org. Provenance: wikidata.org.
  21. [22] . wikidata.org.
  22. [23] . wikidata.org.
  23. [24] . wikidata.org.

Aggregate / graph-position facts

  1. [1] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [25] . Wikidata sitelinks. wikidata.org.
  3. [26] . Wikidata aliases. wikidata.org.

📑 Cite this page

Use these citations when quoting this entity in research, articles, AI prompts, or wherever provenance matters. We aggregate Wikidata + Wikipedia + authoritative open-data sources; the stitched, scored, cross-referenced view is what 4ort.xyz contributes.

APA 4ort.xyz Knowledge Graph. (2026). multivariate normal distribution. Retrieved April 11, 2026, from https://4ort.xyz/entity/multivariate-normal-distribution
MLA “multivariate normal distribution.” 4ort.xyz Knowledge Graph, 4ort.xyz, 11 Apr. 2026, https://4ort.xyz/entity/multivariate-normal-distribution.
BibTeX @misc{4ortxyz_multivariate-normal-distribution_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{multivariate normal distribution}}, year = {2026}, url = {https://4ort.xyz/entity/multivariate-normal-distribution}, note = {Accessed: 2026-04-11}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): multivariate normal distribution — https://4ort.xyz/entity/multivariate-normal-distribution (retrieved 2026-04-11)

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