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Doob martingale

mathematical construction of a martingale (with respect to a given filtration) approximating a given random variable; the evolving sequence of best approximations to the random variable based on information accumulated up to a certain time
Intangible theorem Q1972209
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Doob martingale

Summary

Doob martingale is a theorem[1]. It draws 30 Wikipedia views per month (theorem category, ranking #249 of 1,306).[2]

Key Facts

  • Doob martingale is credited with the discovery of Joseph Leo Doob[3].
  • Doob martingale's instance of is recorded as theorem[4].
  • Doob martingale's instance of is recorded as inequation[5].
  • Joseph Leo Doob is named after Doob martingale[6].
  • Doob martingale's subclass of is recorded as martingale[7].
  • Doob martingale's Freebase ID is recorded as /m/0b_vrn[8].
  • Doob martingale's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Doob martingale's Microsoft Academic ID is recorded as 2779683895[10].

Body

Works and Contributions

Doob martingale is credited with the discovery of Joseph Leo Doob[3].

Why It Matters

Doob martingale draws 30 Wikipedia views per month (theorem category, ranking #249 of 1,306).[2] It has Wikipedia articles in 5 language editions, a strong signal of global cultural recognition.[11]

References

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

Direct Wikidata claims

  1. [4] ↑ . wikidata.org.
  2. [5] ↑ . wikidata.org.
  3. [3] ↑ . wikidata.org.
  4. [6] ↑ . wikidata.org.
  5. [7] ↑ . wikidata.org.
  6. [8] ↑ . Freebase Data Dumps. wikidata.org.
  7. [9] ↑ . wikidata.org.
  8. [10] ↑ . wikidata.org.

Class ancestry

  1. [1] ↑ . Wikidata. wikidata.org.

Aggregate / graph-position facts

  1. [2] ↑ . Wikimedia Foundation. dumps.wikimedia.org.
  2. [11] ↑ . 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). Doob martingale. Retrieved May 3, 2026, from https://4ort.xyz/entity/doob-martingale
MLA “Doob martingale.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/doob-martingale.
BibTeX @misc{4ortxyz_doob-martingale_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Doob martingale}}, year = {2026}, url = {https://4ort.xyz/entity/doob-martingale}, note = {Accessed: 2026-05-03}}
LLM prompt According to 4ort.xyz Knowledge Graph (aggregator of Wikidata, Wikipedia, and authoritative open-data sources): Doob martingale — https://4ort.xyz/entity/doob-martingale (retrieved 2026-05-03)

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