Triple

T8359640
Position Surface form Disambiguated ID Type / Status
Subject Hotelling’s T-squared distribution E196772 entity
Predicate relatedTo P37 FINISHED
Object Wishart distribution
The Wishart distribution is a fundamental probability distribution over positive-definite matrices that generalizes the chi-squared distribution to multiple dimensions and underpins many multivariate statistical methods.
 E728886 NE FINISHED

How this triple was built (4 steps)

Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.

NER Named-entity recognition gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Wishart distribution | Statement: [Hotelling’s T-squared distribution, relatedTo, Wishart distribution]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07 
Target entity: Wishart distribution
Context triple: [Hotelling’s T-squared distribution, relatedTo, Wishart distribution]
  • A. Wishart
    Wishart is a Scottish surname historically associated with notable figures in religion, politics, and academia.
  • B. Hotelling’s T-squared distribution
    Hotelling’s T-squared distribution is a multivariate generalization of Student’s t-distribution used primarily for hypothesis testing and constructing confidence regions for mean vectors in multivariate statistics.
  • C. Pearson distribution
    The Pearson distribution is a family of continuous probability distributions introduced by Karl Pearson to flexibly model data with varying skewness and kurtosis.
  • D. Carsey-Werner Distribution
    Carsey-Werner Distribution is a television distribution company best known for handling popular sitcoms produced by Carsey-Werner, including major hits from the late 1980s and 1990s.
  • E. Dirichlet distribution
    The Dirichlet distribution is a family of continuous multivariate probability distributions commonly used as a prior over categorical or multinomial parameters in Bayesian statistics.
  • F. None of above. chosen
  • G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg Description generation gpt-5.1
Instruction
Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Wishart distribution
Triple: [Hotelling’s T-squared distribution, relatedTo, Wishart distribution]
Generated description
The Wishart distribution is a fundamental probability distribution over positive-definite matrices that generalizes the chi-squared distribution to multiple dimensions and underpins many multivariate statistical methods.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07 
Target entity: Wishart distribution
Target entity description: The Wishart distribution is a fundamental probability distribution over positive-definite matrices that generalizes the chi-squared distribution to multiple dimensions and underpins many multivariate statistical methods.
  • A. Wishart
    Wishart is a Scottish surname historically associated with notable figures in religion, politics, and academia.
  • B. Hotelling’s T-squared distribution
    Hotelling’s T-squared distribution is a multivariate generalization of Student’s t-distribution used primarily for hypothesis testing and constructing confidence regions for mean vectors in multivariate statistics.
  • C. Pearson distribution
    The Pearson distribution is a family of continuous probability distributions introduced by Karl Pearson to flexibly model data with varying skewness and kurtosis.
  • D. Carsey-Werner Distribution
    Carsey-Werner Distribution is a television distribution company best known for handling popular sitcoms produced by Carsey-Werner, including major hits from the late 1980s and 1990s.
  • E. Dirichlet distribution
    The Dirichlet distribution is a family of continuous multivariate probability distributions commonly used as a prior over categorical or multinomial parameters in Bayesian statistics.
  • F. None of above. chosen

Provenance (5 batches)

The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.

Step Stage Batch ID Status When
creating Elicitation batch_69ca82f08b348190bfb7881944bbff6f completed March 30, 2026, 2:04 p.m.
NER Named-entity recognition batch_69cb807134008190b4671326e0414210 completed March 31, 2026, 8:06 a.m.
NED1 Entity disambiguation (via context triple) batch_69cdc775a548819090c83d916b352f41 completed April 2, 2026, 1:33 a.m.
NEDg Description generation batch_69cdcc872cc081909c75b3fb08b03e3f completed April 2, 2026, 1:55 a.m.
NED2 Entity disambiguation (via description) batch_69cdd15b53748190966a94b7e8c04880 completed April 2, 2026, 2:15 a.m.
Created at: March 30, 2026, 6 p.m.