See Azuma's inequality on Wiktionary
{
"etymology_text": "Named after Kazuoki Azuma.",
"head_templates": [
{
"args": {},
"expansion": "Azuma's inequality",
"name": "en-prop"
}
],
"lang": "English",
"lang_code": "en",
"pos": "name",
"senses": [
{
"categories": [
{
"kind": "other",
"name": "English entries with incorrect language header",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with 1 entry",
"parents": [],
"source": "w"
},
{
"kind": "other",
"name": "Pages with entries",
"parents": [],
"source": "w"
},
{
"kind": "other",
"langcode": "en",
"name": "Probability theory",
"orig": "en:Probability theory",
"parents": [],
"source": "w"
}
],
"glosses": [
"An inequality that gives a concentration result for the values of martingales that have bounded differences."
],
"id": "en-Azuma's_inequality-en-name-wERl1e39",
"links": [
[
"probability theory",
"probability theory"
],
[
"martingale",
"martingale"
]
],
"raw_glosses": [
"(probability theory) An inequality that gives a concentration result for the values of martingales that have bounded differences."
],
"synonyms": [
{
"word": "Azuma-Hoeffding inequality"
}
],
"topics": [
"mathematics",
"probability-theory",
"sciences"
]
}
],
"word": "Azuma's inequality"
}
{
"etymology_text": "Named after Kazuoki Azuma.",
"head_templates": [
{
"args": {},
"expansion": "Azuma's inequality",
"name": "en-prop"
}
],
"lang": "English",
"lang_code": "en",
"pos": "name",
"senses": [
{
"categories": [
"English entries with incorrect language header",
"English eponyms",
"English lemmas",
"English multiword terms",
"English proper nouns",
"English uncountable nouns",
"Pages with 1 entry",
"Pages with entries",
"en:Probability theory"
],
"glosses": [
"An inequality that gives a concentration result for the values of martingales that have bounded differences."
],
"links": [
[
"probability theory",
"probability theory"
],
[
"martingale",
"martingale"
]
],
"raw_glosses": [
"(probability theory) An inequality that gives a concentration result for the values of martingales that have bounded differences."
],
"synonyms": [
{
"word": "Azuma-Hoeffding inequality"
}
],
"topics": [
"mathematics",
"probability-theory",
"sciences"
]
}
],
"word": "Azuma's inequality"
}
Download raw JSONL data for Azuma's inequality meaning in All languages combined (0.9kB)
This page is a part of the kaikki.org machine-readable All languages combined dictionary. This dictionary is based on structured data extracted on 2025-12-26 from the enwiktionary dump dated 2025-12-20 using wiktextract (cdfa371 and 9905b1f). 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.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.