Triple

T6482582
Position Surface form Disambiguated ID Type / Status
Subject Gamma function E146428 entity
Predicate appearsIn P795 FINISHED
Object chi-square distribution
The chi-square distribution is a continuous probability distribution commonly used in statistics to model the sum of squared standard normal variables and to conduct hypothesis tests such as goodness-of-fit and tests of independence.
E596523 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: chi-square distribution | Statement: [Gamma function, appearsIn, chi-square distribution]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: chi-square distribution
Context triple: [Gamma function, appearsIn, chi-square distribution]
  • A. F-distribution
    The F-distribution is a continuous probability distribution widely used in statistics, especially for comparing variances and conducting analysis of variance (ANOVA) tests.
  • 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. Cauchy distribution
    The Cauchy distribution is a continuous probability distribution with heavy tails and undefined mean and variance, often used as a classic example of pathological behavior in probability theory and statistics.
  • D. Tukey's lambda distribution
    Tukey's lambda distribution is a flexible family of probability distributions used primarily for exploratory data analysis and modeling diverse shapes of data, including varying degrees of skewness and kurtosis.
  • 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: chi-square distribution
Triple: [Gamma function, appearsIn, chi-square distribution]
Generated description
The chi-square distribution is a continuous probability distribution commonly used in statistics to model the sum of squared standard normal variables and to conduct hypothesis tests such as goodness-of-fit and tests of independence.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: chi-square distribution
Target entity description: The chi-square distribution is a continuous probability distribution commonly used in statistics to model the sum of squared standard normal variables and to conduct hypothesis tests such as goodness-of-fit and tests of independence.
  • A. F-distribution
    The F-distribution is a continuous probability distribution widely used in statistics, especially for comparing variances and conducting analysis of variance (ANOVA) tests.
  • 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. Cauchy distribution
    The Cauchy distribution is a continuous probability distribution with heavy tails and undefined mean and variance, often used as a classic example of pathological behavior in probability theory and statistics.
  • D. Tukey's lambda distribution
    Tukey's lambda distribution is a flexible family of probability distributions used primarily for exploratory data analysis and modeling diverse shapes of data, including varying degrees of skewness and kurtosis.
  • 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_69c0090158c08190af0df9a2348d2d52 completed March 22, 2026, 3:21 p.m.
NER Named-entity recognition batch_69c06a6cd0c4819085a921e6a361d91c completed March 22, 2026, 10:17 p.m.
NED1 Entity disambiguation (via context triple) batch_69c653afb1148190a8683f24a553f64d completed March 27, 2026, 9:53 a.m.
NEDg Description generation batch_69c6559d06c8819082cad37d62fcb3a3 completed March 27, 2026, 10:02 a.m.
NED2 Entity disambiguation (via description) batch_69c6564e01748190a3a12abcc0dfd30f completed March 27, 2026, 10:05 a.m.
Created at: March 22, 2026, 4:51 p.m.