Regional dependence for continuous bivariate densities

Paul W. Holland; Yuchung J. Wang

doi:10.1080/03610928708829358

Regional dependence for continuous bivariate densities

Paul W. Holland, Yuchung J. Wang

Rutgers Camden, Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

When the region of support for a continuous bivariate density is not a Cartesian product set, the joint distribution cannot be independent. This is closely related to the effects caused by “structural zeroes” in two-way contingency tables. Nonrectangular regions of support for continuous densities are analogous to the incomplete two-way tables. Quasi-independence is introduced to replace independence. A measure of association to quantify the degree of dependence due to region is defined, discussed, and applied to several examples.

Original language	English (US)
Pages (from-to)	193-206
Number of pages	14
Journal	Communications in Statistics - Theory and Methods
Volume	16
Issue number	1
DOIs	https://doi.org/10.1080/03610928708829358
State	Published - Jan 1987

All Science Journal Classification (ASJC) codes

Statistics and Probability

Keywords

dependence
measure of
quasi-independence
region of support
structural zeros
transformation of marginals

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AB - When the region of support for a continuous bivariate density is not a Cartesian product set, the joint distribution cannot be independent. This is closely related to the effects caused by “structural zeroes” in two-way contingency tables. Nonrectangular regions of support for continuous densities are analogous to the incomplete two-way tables. Quasi-independence is introduced to replace independence. A measure of association to quantify the degree of dependence due to region is defined, discussed, and applied to several examples.

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KW - structural zeros

KW - transformation of marginals

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Regional dependence for continuous bivariate densities

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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