Triple

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).

Phrase: Neyman–Pearson lemma for simple hypotheses | Statement: [Neyman–Pearson theory of hypothesis testing, coreResult, Neyman–Pearson lemma for simple hypotheses]

Target entity: Neyman–Pearson lemma for simple hypotheses
Context triple: [Neyman–Pearson theory of hypothesis testing, coreResult, Neyman–Pearson lemma for simple hypotheses]

• A. Neyman–Pearson theory of hypothesis testing chosen
  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.
• B. Statistical Decision Functions
  Statistical Decision Functions is a foundational work in decision theory and statistics that systematically develops the theory of optimal decision-making under uncertainty.
• 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. Sequential Analysis
  Sequential Analysis is a foundational statistical methodology that develops procedures for evaluating data as it is collected, allowing decisions to be made at variable sample sizes rather than after a fixed number of observations.
• E. Cramér–Rao bound
  The Cramér–Rao bound is a fundamental result in statistical estimation theory that gives a lower limit on the variance of any unbiased estimator of a parameter, characterizing the best possible precision achievable.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: coreResult
Context triple: [Neyman–Pearson theory of hypothesis testing, coreResult, Neyman–Pearson lemma for simple hypotheses]

• A. result
  Indicates that one entity is produced, caused, or brought about as an outcome or consequence of another entity or process.
• B. knownResult
  Indicates that the outcome or consequence of an action, process, or event is already determined and available.
• C. resultDetermination
  Indicates the process or criteria by which an outcome, decision, or result is established or concluded from given inputs or conditions.
• D. resultUsage
  Indicates how the outcome or result of an action, process, or event is used, applied, or consumed in relation to another entity or context.
• E. keyOutcome chosen
  Indicates that something is a primary or decisive result, consequence, or effect arising from a preceding action, condition, or event.
• F. None of above.