Robust Statistics: The Approach Based on Influence Functions
Abstract
1. Introduction and Motivation. 2. One-Dimensional Estimators. 3. One-Dimensional Tests. 4. Multidimensional Estimators. 5. Estimation of Covariance Matrices and Multivariate Location. 6. Linear Models: Robust Estimation. 7. Linear Models: Robust Testing. 8. Complements and Outlook. References. Index.
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Trustworthy interpretations should not be produced by models that are not stable.
“Trustworthy interpretations should not be produced by models that are not stable.”
From Explainable Artificial Intelligence (XAI): Concepts, taxonomies, opportunities and challenges toward responsible AI (2020) · cites this paper as [165]
Stability is a must-have when drawing interpretations from a certain model.
“As stated in [165, 166, 167], stability is a must-have when drawing interpretations from a certain model.”
From Explainable Artificial Intelligence (XAI): Concepts, taxonomies, opportunities and challenges toward responsible AI (2020) · cites this paper as [165]
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“As stated in [165–167] , stability is a must-have when drawing interpretations from a certain model.”
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- Authors
- Ruppert, D.
- Affiliations
- University of North Carolina
- Corresponding author
- Ruppert, David
- ORCID
- Ruppert, David
- Venue
- Technometrics
- Publisher
- Informa UK Limited
- Published
- 1987-05
- Volume
- 29
- Issue
- 2
- Pages
- 240-241
- ISSN
- 0040-1706 (ISSN-L)
- 1537-2723
- OpenAlex
- W2012712694
- Cited by
- 3,880
- References
- 1
- Citations by year
- 2026: 3 · 2025: 9 · 2024: 35 · 2023: 53 · 2022: 61 · 2021: 129 · 2020: 122 · 2019: 133 · 2018: 120 · 2017: 120 · 2016: 136 · 2015: 138 · 2014: 134 · 2013: 152 · 2012: 142
- Type
- book review
- Language
- en
- Open access
- closed
- Locations
- Technometrics (publishedVersion)
- Funders
- National Science Foundation
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Advanced Statistical Methods and Models
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Distribution Estimation and Applications
- Physical Sciences › Mathematics › Applied Mathematics › Statistical and numerical algorithms
- Keywords
- robust statistics, influence function, robust estimation, outliers
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