Representations for partially exchangeable arrays of random variables
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In the Internet example, coefficients in any batch of two-way or higher-level interactions have a natural gridded structure potentially more complex than pure exchangeability.
“For example, in the Internet example in Section 7.1 the coefficients in any batch of two-way or higher-level interactions have a natural gridded structure that is potentially more complex than the pure exchangeability of additive components [see Aldous (1981)].”
From Analysis of variance—why it is more important than ever (2005) · cites this paper as Aldous (1981)
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McCullagh, P. (2002) · The Annals of Statistics · doi:10.1214/aos/1035844977 · Cited by 248 · see citing works
Analysis of variance—why it is more important than ever
Gelman, A. (2005) · The Annals of Statistics · doi:10.1214/009053604000001048 · Cited by 861 · see citing works
“Model (7) corresponds to exchangeability of each set of factor levels, which is a form of partial exchangeability or invariance of the entire set of cell means [see Aldous (1981)].”
BackgroundInfluentialCausal models for longitudinal and panel data: a survey
Arkhangelsky, D., & Imbens, G. (2024) · The Econometrics Journal · doi:10.1093/ectj/utae014 · Cited by 50 · see citing works
- Authors
- Aldous, D. J.
- Affiliations
- University of California, Berkeley (US)
- Corresponding author
- Aldous, David J.
- ORCID
- Aldous, David J.
- Venue
- Journal of Multivariate Analysis
- Publisher
- Elsevier BV
- Published
- 1981-12
- Volume
- 11
- Issue
- 4
- Pages
- 581-598
- ISSN
- 0047-259X (ISSN-L)
- OpenAlex
- W2018415308
- Cited by
- 442
- References
- 0
- Citations by year
- 2026: 7 · 2025: 9 · 2024: 14 · 2023: 23 · 2022: 23 · 2021: 35 · 2020: 37 · 2019: 34 · 2018: 26 · 2017: 31 · 2016: 30 · 2015: 23 · 2014: 26 · 2013: 24 · 2012: 7
- FWCI
- 1.62
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Journal of Multivariate Analysis (publishedVersion)
- RePEc: Research Papers in Economics (submittedVersion)
- Topics
- Physical Sciences › Mathematics › Statistics and Probability › Random Matrices and Applications
- Physical Sciences › Mathematics › Statistics and Probability › Probability and Statistical Research
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Applications
- Keywords
- exchangeability, random matrices, independent identically distributed random variables, permutation invariance
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