Statistical manifolds with almost complex structures

The 45-th Symposium on Finsler Geometry. Sep. 5-10, 2010. Tokyo, Japan.held joint with The 11th International Conference of Tensor Society.ArticleTAKANO KAZUHIKO. "Statistical manifolds with almost complex structures". Proceedings of the 45-th Symposium on Finsler Geometry. Tokyo, 2010-09-05/10. Society of Finsler Geometry, 2011, p. 54-57.conference pape

Exponential families admitting almost complex structures

We discuss exponential families admitting almost complex structures which are parallel relative to an exponential connection (e–connection) or mixture connection (m–connection). The multinomial distribution, negative multinomial distribution and multivariate normal distribution are important examples of the exponential family. We give almost complex structures which are parallel relative to the exponential or mixture connection for these exponential families. Also, we prove spaces of the multinomial distribution and negative multinomial distribution are of constant curvature with respect to the α–connection.ArticleSUT Journal of Mathematics. 46:1-21 (2010)journal articl

Submanifolds of statisticalmanifolds admitting almost complex structures

The 42-th Symposium on Finsler Geometry. Nov. 1-4, 2007. Nagasaki, Japan.ArticleTAKANO KAZUHIKO. "Submanifolds of statisticalmanifolds admitting almost complex structures". Proceedings of the 42-th Symposium on Finsler Geometry. Nagasaki, 2007-11-01/04. Society of Finsler Geometry, 2008, p. 38-41.conference pape

Statistical manifolds with almost contact structures and its statistical submersions

ArticleJournal of Geometry. 85:171-187 (2006)journal articl

Some geometric properties of system spaces of autoregressive process of degree 2

The 53-th Symposium on Finsler Geometry. Nov. 16-18, 2017. Fukuoka, Japan.ArticleTAKANO KAZUHIKO. "Some geometric properties of system spaces of autoregressive process of degree 2". Proceedings of the 53-th Symposium on Finsler Geometry. Fukuoka, 2017-11-16/18. Society of Finsler Geometry.conference pape

Geodesics of system spaces of autoregressive process of degree 1

The 49-th Symposium on Finsler Geometry. Dec. 4-7, 2014. Nagasaki, Japan.ArticleTAKANO KAZUHIKO. "Geodesics of system spaces of autoregressive process of degree 1". Proceedings of the 49-th Symposium on Finsler Geometry. Nagasaki, 2014-12-04/07. Society of Finsler Geometry.conference pape

On a conformal Killing vector field in acompact almost Kaehlerian manifold

ArticleBulletin of the Korean Mathematical Society. 42:1-4 (2005)journal articl

Current problems and challenges relating to information law in Japan

Japan is unappreciated as a nation to provide adequate level of privacy protection by EU, despite having put in a lot of time and effort on the protection of Personal Information. Japan has to establish a new law on privacy protection, which is praised by the international community. They are important step toward not only contributing to a decrease in leaking of personal information as social disasters, but also spurt in corporate activity and resolving domestic problems. And also, Japan shoulders the important responsibility as CSR major advanced country. In this paper, I\u27ll suggest a framework of new privacy protection law in Japan, after carefully cleaning up problems that　already exist

Chen Inequalities for Statistical Submanifolds of Kähler-Like Statistical Manifolds

We consider Kähler-like statistical manifolds, whose curvature tensor field satisfies a natural condition. For their statistical submanifolds, we prove a Chen first inequality and a Chen inequality for the invariant δ(2, 2).ArticleMathematics.7(12):1202(2019)journal articl