Point-Symmetric Multivariate Density Function and Its Decomposition
For a T-variate density function, the present paper defines the point-symmetry, quasi-point-symmetry of order k (<T), and the marginal point-symmetry of order k and gives the theorem that the density function is T-variate point-symmetric if and only if it is quasi-point-symmetric and marginal poi...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Probability and Statistics |
| Online Access: | http://dx.doi.org/10.1155/2014/597630 |
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| _version_ | 1832552584004501504 |
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| author | Kiyotaka Iki Sadao Tomizawa |
| author_facet | Kiyotaka Iki Sadao Tomizawa |
| author_sort | Kiyotaka Iki |
| collection | DOAJ |
| description | For a T-variate density function, the present paper defines the point-symmetry, quasi-point-symmetry of order k (<T), and the marginal point-symmetry of order k and gives the theorem that the density function is T-variate point-symmetric if and only if it is quasi-point-symmetric and marginal point-symmetric of order k. The theorem is illustrated for the multivariate normal density function. |
| format | Article |
| id | doaj-art-a1c75ba4ac474c099b7bea139859dad0 |
| institution | Kabale University |
| issn | 1687-952X 1687-9538 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Probability and Statistics |
| spelling | doaj-art-a1c75ba4ac474c099b7bea139859dad02025-02-03T05:58:19ZengWileyJournal of Probability and Statistics1687-952X1687-95382014-01-01201410.1155/2014/597630597630Point-Symmetric Multivariate Density Function and Its DecompositionKiyotaka Iki0Sadao Tomizawa1Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Noda City, Chiba 278-8510, JapanDepartment of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Noda City, Chiba 278-8510, JapanFor a T-variate density function, the present paper defines the point-symmetry, quasi-point-symmetry of order k (<T), and the marginal point-symmetry of order k and gives the theorem that the density function is T-variate point-symmetric if and only if it is quasi-point-symmetric and marginal point-symmetric of order k. The theorem is illustrated for the multivariate normal density function.http://dx.doi.org/10.1155/2014/597630 |
| spellingShingle | Kiyotaka Iki Sadao Tomizawa Point-Symmetric Multivariate Density Function and Its Decomposition Journal of Probability and Statistics |
| title | Point-Symmetric Multivariate Density Function and Its Decomposition |
| title_full | Point-Symmetric Multivariate Density Function and Its Decomposition |
| title_fullStr | Point-Symmetric Multivariate Density Function and Its Decomposition |
| title_full_unstemmed | Point-Symmetric Multivariate Density Function and Its Decomposition |
| title_short | Point-Symmetric Multivariate Density Function and Its Decomposition |
| title_sort | point symmetric multivariate density function and its decomposition |
| url | http://dx.doi.org/10.1155/2014/597630 |
| work_keys_str_mv | AT kiyotakaiki pointsymmetricmultivariatedensityfunctionanditsdecomposition AT sadaotomizawa pointsymmetricmultivariatedensityfunctionanditsdecomposition |