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Empirical Processes with Applications to Statistics
Abstract
Here is the first book to summarize a broad cross-section of the large volume of literature available on one-dimensional empirical processes. Presented is a thorough treatment of the theory of empirical processes, with emphasis on real random variable processes as well as a wide-ranging selection of applications in statistics. Featuring many tables and illustrations accompanying the proofs of major results, coverage includes foundations - special spaces and special processes, convergence and distribution of empirical processes, alternatives and processes of residuals, integral tests of fit and estimated empirical processes and martingale methods.
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Citations
Cited by
Checking the Cox model with cumulative sums of martingale-based residuals
LIN, D. Y., WEI, L. J., & YING, Z. (1993) · Biometrika · doi:10.1093/biomet/80.3.557 · Cited by 1,432
Identification and Inference in Nonlinear Difference-in-Differences Models
Athey, S., & Imbens, G. W. (2006) · Econometrica · doi:10.1111/j.1468-0262.2006.00668.x · Cited by 1,084
Semiparametric regression for the mean and rate functions of recurrent events
Lin, D. Y., Wei, L. J., Yang, I., & Ying, Z. (2000) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/1467-9868.00259 · Cited by 969
Higher criticism for detecting sparse heterogeneous mixtures
Donoho, D., & Jin, J. (2004) · The Annals of Statistics · doi:10.1214/009053604000000265 · Cited by 721
A class of invariant consistent tests for multivariate normality
Henze, N., & Zirkler, B. (1990) · Communications in Statistics - Theory and Methods · doi:10.1080/03610929008830400 · Cited by 710
Metadata
- Authors
- Shorack, G. R., & Wellner, J. A.
- Venue
- Society for Industrial and Applied Mathematics eBooks
- Published
- 2009-01
- OpenAlex
- W2113575907
- Cited by
- 2,310
- References
- 0
- FWCI
- 18.29
- Type
- book
- Language
- en
- Open access
- closed
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- Shorack, G. R., & Wellner, J. A. (2009). Empirical Processes with Applications to Statistics. Society for Industrial and Applied Mathematics eBooks. https://doi.org/10.1137/1.9780898719017
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
