Double Symmetric Multivariate Density Function and its Decomposition

Authors

Kiyotaka Iki, Department of Information Sciences, Faculty of Science and Technology, Tokyo University of Science, Noda City, Chiba, JapanFollow
Sadao Tomizawa

Author Country (or Countries)

Japan

Abstract

For a T-variate density function, the present paper defines double symmetry, quasi double symmetry of order k (< T) and marginal double symmetry of order k, and gives the theorem that the density function is T-variate double symmetry if and only if it is quasi double symmetry and marginal double symmetry of order k. The theorem is also illustrated for the multivariate density functions.

Digital Object Identifier (DOI)

http://dx.doi.org/10.18576/jsap/070101

Recommended Citation

Iki, Kiyotaka and Tomizawa, Sadao (2018) "Double Symmetric Multivariate Density Function and its Decomposition," Journal of Statistics Applications & Probability: Vol. 7: Iss. 1, Article 1.
DOI: http://dx.doi.org/10.18576/jsap/070101
Available at: https://digitalcommons.aaru.edu.jo/jsap/vol7/iss1/1