Triple
T11560414
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Harald Cramér |
E274126
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Mathematical Methods of Statistics
Mathematical Methods of Statistics is a foundational 1946 textbook that helped formalize modern mathematical statistics, particularly in the areas of probability theory and statistical inference.
|
E933484
|
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: Mathematical Methods of Statistics | Statement: [Harald Cramér, notableWork, Mathematical Methods of Statistics]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Mathematical Methods of Statistics Context triple: [Harald Cramér, notableWork, Mathematical Methods of Statistics]
-
A.
Foundations of the Theory of Probability
Foundations of the Theory of Probability is a landmark 1933 monograph that rigorously established modern probability theory on an axiomatic measure-theoretic basis.
-
B.
Soviet school of probability theory
The Soviet school of probability theory was a highly influential mathematical tradition that developed rigorous foundations and advanced methods in probability and stochastic processes, led by figures such as Kolmogorov, Khinchin, and their students.
-
C.
The Theory of Probability
The Theory of Probability is Hans Reichenbach’s influential philosophical and mathematical treatise that helped establish a rigorous, frequency-based interpretation of probability within the logical empiricist tradition.
-
D.
Neyman–Pearson theory of hypothesis testing
The Neyman–Pearson theory of hypothesis testing is a foundational statistical framework that formalizes how to construct and evaluate tests for competing hypotheses using concepts like Type I and Type II errors and power.
-
E.
Modern Probability Theory and Its Applications
"Modern Probability Theory and Its Applications" is a foundational textbook by Emanuel Parzen that systematically develops modern probability theory and demonstrates its use in a wide range of statistical and applied contexts.
- 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: Mathematical Methods of Statistics Triple: [Harald Cramér, notableWork, Mathematical Methods of Statistics]
Generated description
Mathematical Methods of Statistics is a foundational 1946 textbook that helped formalize modern mathematical statistics, particularly in the areas of probability theory and statistical inference.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Mathematical Methods of Statistics Target entity description: Mathematical Methods of Statistics is a foundational 1946 textbook that helped formalize modern mathematical statistics, particularly in the areas of probability theory and statistical inference.
-
A.
Foundations of the Theory of Probability
Foundations of the Theory of Probability is a landmark 1933 monograph that rigorously established modern probability theory on an axiomatic measure-theoretic basis.
-
B.
Soviet school of probability theory
The Soviet school of probability theory was a highly influential mathematical tradition that developed rigorous foundations and advanced methods in probability and stochastic processes, led by figures such as Kolmogorov, Khinchin, and their students.
-
C.
The Theory of Probability
The Theory of Probability is Hans Reichenbach’s influential philosophical and mathematical treatise that helped establish a rigorous, frequency-based interpretation of probability within the logical empiricist tradition.
-
D.
Neyman–Pearson theory of hypothesis testing
The Neyman–Pearson theory of hypothesis testing is a foundational statistical framework that formalizes how to construct and evaluate tests for competing hypotheses using concepts like Type I and Type II errors and power.
-
E.
Modern Probability Theory and Its Applications
"Modern Probability Theory and Its Applications" is a foundational textbook by Emanuel Parzen that systematically develops modern probability theory and demonstrates its use in a wide range of statistical and applied contexts.
- 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_69d6aae4dfa48190a3ab0b19a159a3c5 |
completed | April 8, 2026, 7:22 p.m. |
| NER | Named-entity recognition | batch_69d88a899d4481909a3bce3147763b51 |
completed | April 10, 2026, 5:28 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69e6e88b84d48190948243646bb5fd2b |
completed | April 21, 2026, 3:01 a.m. |
| NEDg | Description generation | batch_69e6ef951eb881909810b5923385c4c6 |
completed | April 21, 2026, 3:31 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69e6f92ed97c819081576add624dcc27 |
completed | April 21, 2026, 4:12 a.m. |
Created at: April 8, 2026, 9:37 p.m.