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.
Tomizawa, S., & Konuma, T. (1997). Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures.. The Egyptian Statistical Journal, 41(2), 195-204. doi: 10.21608/esju.1997.314649
MLA
Sadao Tomizawa; Tomono Konuma. "Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures.", The Egyptian Statistical Journal, 41, 2, 1997, 195-204. doi: 10.21608/esju.1997.314649
HARVARD
Tomizawa, S., Konuma, T. (1997). 'Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures.', The Egyptian Statistical Journal, 41(2), pp. 195-204. doi: 10.21608/esju.1997.314649
VANCOUVER
Tomizawa, S., Konuma, T. Decomposing Bivariate Symmetric Density Function into Three Symmetric Structures.. The Egyptian Statistical Journal, 1997; 41(2): 195-204. doi: 10.21608/esju.1997.314649
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