Edgeworth series
E953116
The Edgeworth series is a statistical expansion used in probability theory to approximate probability distributions by correcting the normal distribution with higher-order cumulants.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Edgeworth series canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T11912892 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Edgeworth series Context triple: [Francis Ysidro Edgeworth, knownFor, Edgeworth series]
-
A.
Edgeworth
Edgeworth is an English surname most notably associated with the Anglo-Irish inventor and educationalist Richard Lovell Edgeworth and his prominent family.
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B.
Edgeworth
Edgeworth is a suburb in the Lake Macquarie region of New South Wales, Australia, situated near Cockle Creek.
-
C.
Mapp and Lucia series
The Mapp and Lucia series is a collection of comic novels by E.F. Benson that satirically portrays the social rivalries and pretensions of upper-middle-class English village life in the 1920s and 1930s.
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D.
Blandings Castle series
The Blandings Castle series is a collection of comic novels and stories by P. G. Wodehouse centered on the amiably absent-minded Lord Emsworth, his eccentric family, and the idyllic Shropshire estate of Blandings Castle.
-
E.
The Ayrshire Legatees
The Ayrshire Legatees is an early 19th-century epistolary novel by Scottish writer John Galt that humorously portrays a provincial Scottish family's encounters with London society.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Edgeworth series Target entity description: The Edgeworth series is a statistical expansion used in probability theory to approximate probability distributions by correcting the normal distribution with higher-order cumulants.
-
A.
Edgeworth
Edgeworth is an English surname most notably associated with the Anglo-Irish inventor and educationalist Richard Lovell Edgeworth and his prominent family.
-
B.
Edgeworth
Edgeworth is a suburb in the Lake Macquarie region of New South Wales, Australia, situated near Cockle Creek.
-
C.
Mapp and Lucia series
The Mapp and Lucia series is a collection of comic novels by E.F. Benson that satirically portrays the social rivalries and pretensions of upper-middle-class English village life in the 1920s and 1930s.
-
D.
Blandings Castle series
The Blandings Castle series is a collection of comic novels and stories by P. G. Wodehouse centered on the amiably absent-minded Lord Emsworth, his eccentric family, and the idyllic Shropshire estate of Blandings Castle.
-
E.
The Ayrshire Legatees
The Ayrshire Legatees is an early 19th-century epistolary novel by Scottish writer John Galt that humorously portrays a provincial Scottish family's encounters with London society.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
asymptotic expansion
ⓘ
probability theory concept ⓘ statistical method ⓘ |
| appliesTo |
independent and identically distributed random variables
ⓘ
sums of random variables ⓘ |
| approximationOrder | can be extended to arbitrary finite order in 1/sqrt(n) ⓘ |
| assumes | existence of sufficiently high-order moments ⓘ |
| basedOn |
cumulants
ⓘ
moments of a distribution ⓘ |
| comparedWith | Gram–Charlier A series NERFINISHED ⓘ |
| domain |
continuous distributions
ⓘ
discrete distributions (via continuity corrections) ⓘ |
| expandsAround | normal distribution ⓘ |
| field |
mathematical statistics
ⓘ
probability theory ⓘ |
| generalizationOf | normal approximation ⓘ |
| goal | to approximate distribution functions more accurately than the normal distribution alone ⓘ |
| hasAdvantageOver | Gram–Charlier series in asymptotic justification ⓘ |
| hasProperty |
asymptotic in sample size
ⓘ
may not define a proper probability density for finite truncation ⓘ |
| historicalPublicationPeriod | late 19th century ⓘ |
| improves | rate of convergence of normal approximation ⓘ |
| namedAfter | Francis Ysidro Edgeworth NERFINISHED ⓘ |
| relatedTo |
Gram–Charlier series
NERFINISHED
ⓘ
central limit theorem NERFINISHED ⓘ saddlepoint approximation ⓘ |
| representation |
polynomial corrections to the normal density
ⓘ
series in powers of n^{-1/2} ⓘ |
| requires | standardization of the random variable ⓘ |
| usedBy |
applied probabilists
ⓘ
econometricians ⓘ statisticians ⓘ |
| usedFor |
approximating distribution of standardized sums
ⓘ
approximating probability distributions ⓘ approximating sampling distributions ⓘ refining normal approximation ⓘ |
| usedIn |
confidence interval approximation
ⓘ
econometrics ⓘ hypothesis testing ⓘ theoretical statistics ⓘ |
| usesConcept |
higher-order cumulants
ⓘ
kurtosis ⓘ skewness ⓘ standardized cumulants ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Edgeworth series Description of subject: The Edgeworth series is a statistical expansion used in probability theory to approximate probability distributions by correcting the normal distribution with higher-order cumulants.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.