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Cited by 490

The DOI matches its Crossref record; 8 of the 8 references it cites were found in a registry or an index.

Distribution Free Tests of Independence Based on the Sample Distribution Function

Open access
Blum, J. R., Kiefer, J., Rosenblatt, M.·1961·The Annals of Mathematical Statistics
DOI 10.1214/aoms/1177705055
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Abstract

Certain tests of independence based on the sample distribution function (d.f.) possess power properties superior to those of other tests of independence previously discussed in the literature. The characteristic functions of the limiting d.f.'s of a class of such test criteria are obtained, and the corresponding d.f. is tabled in the bivariate case, where the test is equivalent to one originally proposed by Hoeffding [4]. A discussion is included of the computational problems which arise in the inversion of characteristic functions of this type. Techniques for computing the statistics and for approximating the tail probabilities are considered.

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Metadata

Authors
Blum, J. R., Kiefer, J., & Rosenblatt, M.
Venue
The Annals of Mathematical Statistics
Publisher
Institute of Mathematical Statistics
Published
1961-06
Volume
32
Issue
2
Pages
485-498
ISSN
0003-4851 (ISSN-L)
DOI
10.1214/aoms/1177705055
OpenAlex
W2070803806
Cited by
490
References
8
FWCI
0.00
Type
journal article
Language
en
Open access
bronze

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CoChat. (2026). Citation check: Distribution Free Tests of Independence Based on the Sample Distribution Function. https://app.cochat.ai/papers/10.1214/aoms/1177705055
The paper
Blum, J. R., Kiefer, J., & Rosenblatt, M. (1961). Distribution Free Tests of Independence Based on the Sample Distribution Function. The Annals of Mathematical Statistics. https://doi.org/10.1214/aoms/1177705055

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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.