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: multivariate Berry–Esseen bounds | Statement: [Berry–Esseen theorem, hasGeneralizations, multivariate Berry–Esseen bounds]

Target entity: multivariate Berry–Esseen bounds
Context triple: [Berry–Esseen theorem, hasGeneralizations, multivariate Berry–Esseen bounds]

• A. Berry–Esseen theorem chosen
  The Berry–Esseen theorem is a quantitative refinement of the central limit theorem that provides explicit bounds on the rate of convergence of normalized sums of independent random variables to the normal distribution.
• B. 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.
• C. Khinchin–Kahane type inequalities
  Khinchin–Kahane type inequalities are fundamental results in probability and functional analysis that bound moments or norms of random series (often with Rademacher or Gaussian coefficients) in terms of each other, providing powerful tools for studying the geometry of Banach spaces and random processes.
• D. Cameron–Martin theorem
  The Cameron–Martin theorem is a fundamental result in probability theory and functional analysis that characterizes how Gaussian measures on infinite-dimensional spaces change under shifts by elements of a special Hilbert subspace (the Cameron–Martin space).
• E. Statistical Independence in Probability, Analysis and Number Theory
  "Statistical Independence in Probability, Analysis and Number Theory" is a mathematical monograph by Mark Kac that explores the concept of independence across probability theory, real analysis, and number theory.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: hasGeneralizations
Context triple: [Berry–Esseen theorem, hasGeneralizations, multivariate Berry–Esseen bounds]

• A. generalizationOf chosen
  Indicates that one entity represents a broader, more general concept or category that subsumes or abstracts over another, more specific entity.
• B. hasTypeGenus
  Indicates that one entity is the type genus that formally defines or represents the taxonomic group of the other entity.
• C. hasGeneralPurpose
  Indicates that one entity serves as the broad, overarching function, role, or intended use of another entity.
• D. hasSubConcept
  Indicates that one concept is a more specific, subordinate, or narrower idea within the scope of another, more general concept.
• E. hasGenus
  Indicates that one entity belongs to, or is classified under, the biological genus represented by the other entity.
• F. None of above.