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.
(1997). Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures. By: Sadao Tomizawa and Tomono Konuma. The Egyptian Statistical Journal, 41(2), 160-181. doi: 10.21608/esju.1997.314649
MLA
. "Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures. By: Sadao Tomizawa and Tomono Konuma", The Egyptian Statistical Journal, 41, 2, 1997, 160-181. doi: 10.21608/esju.1997.314649
HARVARD
(1997). 'Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures. By: Sadao Tomizawa and Tomono Konuma', The Egyptian Statistical Journal, 41(2), pp. 160-181. doi: 10.21608/esju.1997.314649
VANCOUVER
Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures. By: Sadao Tomizawa and Tomono Konuma. The Egyptian Statistical Journal, 1997; 41(2): 160-181. doi: 10.21608/esju.1997.314649
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