Irwin–Hall distribution

distribution of a sum of continuous uniform random variables
Intangible mathematical_concept Q3258194
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Irwin–Hall distribution

Summary

Irwin–Hall distribution is a mathematical concept[1]. It draws 97 Wikipedia views per month (mathematical_concept category, ranking #179 of 1,007).[2]

Key Facts

  • Irwin–Hall distribution's instance of is recorded as mathematical concept[3].
  • Irwin–Hall distribution's subclass of is recorded as continuous probability distribution[4].
  • Irwin–Hall distribution's subclass of is recorded as symmetric probability distribution[5].
  • Irwin–Hall distribution's Freebase ID is recorded as /m/03m558k[6].
  • Irwin–Hall distribution's different from is recorded as Bates distribution[7].
  • Irwin–Hall distribution's defining formula is recorded as f_X(x;n)=\frac{1}{2(n-1)!}\sum_{k=0}^n (-1)^k{n \choose k} (x-k)^{n-1}\sgn(x-k)[8].
  • Irwin–Hall distribution's MathWorld ID is recorded as UniformSumDistribution[9].
  • Irwin–Hall distribution's maintained by WikiProject is recorded as WikiProject Mathematics[10].
  • Irwin–Hall distribution's Microsoft Academic ID is recorded as 40047613[11].
  • Irwin–Hall distribution's mean of a probability distribution is recorded as {\frac {n}{2}}[12].
  • Irwin–Hall distribution's median of a probability distribution is recorded as {\frac {n}{2}}[13].
  • Irwin–Hall distribution's variance of a probability distribution is recorded as {\frac {n}{12}}[14].
  • Irwin–Hall distribution's skewness is recorded as 0[15].
  • Irwin–Hall distribution's moment-generating function is recorded as {\left({\frac {\mathrm {e} ^{t}-1}{t}}\right)}^{n}[16].

Why It Matters

Irwin–Hall distribution draws 97 Wikipedia views per month (mathematical_concept category, ranking #179 of 1,007).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[17]

References

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

Direct Wikidata claims

  1. [3] . wikidata.org.
  2. [4] . wikidata.org.
  3. [5] . wikidata.org.
  4. [6] . wikidata.org.
  5. [7] . wikidata.org.
  6. [8] . wikidata.org.
  7. [9] . wikidata.org.
  8. [10] . wikidata.org.
  9. [11] . wikidata.org.
  10. [12] . wikidata.org.
  11. [13] . wikidata.org.
  12. [14] . wikidata.org.
  13. [15] . wikidata.org.
  14. [16] . wikidata.org.

Class ancestry

  1. [1] . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] . Wikimedia Foundation. dumps.wikimedia.org.
  2. [17] . Wikidata sitelinks. 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). Irwin–Hall distribution. Retrieved May 3, 2026, from https://4ort.xyz/entity/irwin-hall-distribution
MLA “Irwin–Hall distribution.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/irwin-hall-distribution.
BibTeX @misc{4ortxyz_irwin-hall-distribution_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Irwin–Hall distribution}}, year = {2026}, url = {https://4ort.xyz/entity/irwin-hall-distribution}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Irwin–Hall distribution — https://4ort.xyz/entity/irwin-hall-distribution (retrieved 2026-05-03)

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