Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures.
Tomizawa, S., Konuma, T. (1997). Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures.. EKB Journal Management System, 41(2), 195-204. doi: 10.21608/esju.1997.314649
Sadao Tomizawa; Tomono Konuma. "Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures.". EKB Journal Management System, 41, 2, 1997, 195-204. doi: 10.21608/esju.1997.314649
Tomizawa, S., Konuma, T. (1997). 'Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures.', EKB Journal Management System, 41(2), pp. 195-204. doi: 10.21608/esju.1997.314649
Tomizawa, S., Konuma, T. Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures.. EKB Journal Management System, 1997; 41(2): 195-204. doi: 10.21608/esju.1997.314649

Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures.

The Egyptian Statistical Journal
Article 8, Volume 41, Issue 2, December 1997, Pages 195-204    PDF (6 M)
Document Type: Original Article
DOI: 10.21608/esju.1997.314649
Authors
Sadao Tomizawa* ; Tomono Konuma
Department of Information Sciences, Faculty of Science and Technology, Science University of Tokyo, Japan
Abstract
Tomizawa, Seo and Minaguchi (1996) gave a decomposition of bivariate symmetric density function. This note gives another decomposition. It is shown that the density function is symmetric if and only if it is quasi-symmetric, conditional marginal symmetric and global symmetric.
Keywords
Conditional Marginal Symmetry; Global Symmetry; Odds-Ratio; Quasi-Symmetry
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