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Cited by 277

The DOI matches its Crossref record; 48 of the 48 references it cites were found in a registry or an index.

Estimating Linear Statistical Relationships

Open access
Anderson, T. W.·1984·The Annals of Statistics
DOI 10.1214/aos/1176346390
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Abstract

This paper on estimating linear statistical relationships includes three lectures on linear functional and structural relationships, factor analysis, and simultaneous equations models. The emphasis is on relating the several models by a general approach and on the similarity of maximum likelihood estimators (under normality) in the different models. In the first two lectures the observable vector is decomposed into a "systematic part" and a random error; the systematic part satisfies the linear relationships. Estimators are derived for several cases and some of their properties given. Estimation of the coefficients of a single equation in a simultaneous equations model is shown to be equivalent to estimation of linear functional relationships.

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Metadata

Authors
Anderson, T. W.
Venue
The Annals of Statistics
Publisher
Institute of Mathematical Statistics
Published
1984-03-01
Volume
12
Issue
1
ISSN
0090-5364 (ISSN-L)
DOI
10.1214/aos/1176346390
OpenAlex
W2051417316
Cited by
277
References
48
FWCI
13.97
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Estimating Linear Statistical Relationships. https://app.cochat.ai/papers/10.1214/aos/1176346390
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Anderson, T. W. (1984). Estimating Linear Statistical Relationships. The Annals of Statistics. https://doi.org/10.1214/aos/1176346390

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.