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Cited by 491

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A Class of Bivariate Distributions

Plackett, R. L.·1965·Journal of the American Statistical Association

Abstract

By developing an analogy with the measure of association in a fourfold contingency table, a method is given of constructing a one-parameter class of bivariate distributions from given margins. This class contains the known boundary distributions and the member corresponding to independent random variables. The class resulting from standard normal margins is compared with the standard normal bivariate distribution, and it is found that the two joint distributions and the two conditional distributions each agree tolerably well. Estimation of the parameter is illustrated by an example showing a computational advantage of this class of distributions.

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Metadata

Authors
Plackett, R. L.
Venue
Journal of the American Statistical Association
Published
1965-06
Volume
60
Issue
310
Pages
516-522
ISSN
  • 0162-1459 (ISSN-L)
  • 1537-274X
OpenAlex
W2035971761
Cited by
491
References
1
FWCI
5.12
Type
journal article
Language
en
Open access
closed

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CoChat. (2026). Citation check: A Class of Bivariate Distributions. https://app.cochat.ai/papers/10.1080/01621459.1965.10480807
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Plackett, R. L. (1965). A Class of Bivariate Distributions. Journal of the American Statistical Association. https://doi.org/10.1080/01621459.1965.10480807

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Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.