Weak Convergence and Empirical Processes

van der Vaart, A. W., & Wellner, J. A. (1996). Weak Convergence and Empirical Processes: With Applications to Statistics. Springer.

Type

Book

Intellectual base

Review or monograph

Year

1996

DOI

10.1007/978-1-4757-2545-2

ISBN

9781475725476

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-1-4757-2545-2

Cited by

2 citations across 2 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Donsker classes
  • … pseudometric, finite-dimensional convergence, tight Borel measurability or outer-probability convention, asymptotic equicontinuity, Gaussian limit and entropy or VC criteria are explicit. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..
• Empirical Measure
  • `P_n f = ∫ f dP_n = (1/n) Σ_{i=1}^n f(X_i)`.

    This sourceStandard reference for empirical measures, indexed classes, and their convergence theory.

Verification

Does it exist? Confirmed. This work's DOI resolves to a registered record, which fixes its identity. That is all it fixes.

Does it back the claim? Not recorded. Neither this nor any other of the 2 citations of this work carries a recorded support check.

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Links previously used in the corpus

Before the registry existed this work was also linked 1 other way.

• https://link.springer.com/book/10.1007/978-1-4757-2545-2 ×1

Registry ID ref:882b2f830d54 · see in the full table