Azuma's inequality

probabilistic inequality applying to martingales with bounded differences
Intangible theorem Q2410467
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Azuma's inequality

Summary

Azuma's inequality is a theorem[1]. It draws 145 Wikipedia views per month (theorem category, ranking #196 of 1,306).[2]

Key Facts

  • Azuma's inequality's instance of is recorded as theorem[3].
  • Kazuoki Azuma is named after Azuma's inequality[4].
  • Wassily Hoeffding is named after Azuma's inequality[5].
  • Azuma's inequality's subclass of is recorded as concentration inequality[6].
  • Azuma's inequality's Freebase ID is recorded as /m/029z2y[7].
  • Azuma's inequality's defining formula is recorded as |X_k - X_{k-1}| < c_k,<sup id="cite-C14" class="cite-ref" title="Azuma's inequality — defining formula (P2534): |X_k - X_{k-1}| < c_k,">[8].
  • Azuma's inequality's maintained by WikiProject is recorded as WikiProject Mathematics[9].
  • Azuma's inequality's Microsoft Academic ID is recorded as 35015273[10].

Why It Matters

Azuma's inequality draws 145 Wikipedia views per month (theorem category, ranking #196 of 1,306).[2] It has Wikipedia articles in 6 language editions, a strong signal of global cultural recognition.[11]

📑 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). Azuma's inequality. Retrieved May 3, 2026, from https://4ort.xyz/entity/azuma-s-inequality
MLA “Azuma's inequality.” 4ort.xyz Knowledge Graph, 4ort.xyz, 3 May. 2026, https://4ort.xyz/entity/azuma-s-inequality.
BibTeX @misc{4ortxyz_azuma-s-inequality_2026, author = {{4ort.xyz Knowledge Graph}}, title = {{Azuma's inequality}}, year = {2026}, url = {https://4ort.xyz/entity/azuma-s-inequality}, note = {Accessed: 2026-05-03}}
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