Zobrazeno 1 - 10
of 16
pro vyhledávání: '"Hidehiko Kamiya"'
Autor:
Hidehiko Kamiya
Publikováno v:
Communications in Statistics - Theory and Methods. 48:3092-3104
Elliptically contoured distributions generalize the multivariate normal distributions in such a way that the density generators need not be exponential. However, as the name suggests, elliptically contoured distributions remain to be restricted in th
Publikováno v:
Arrangements of Hyperplanes — Sapporo 2009, H. Terao and S. Yuzvinsky, eds. (Tokyo: Mathematical Society of Japan, 2012)
Arrangement theory plays an essential role in the study of the un-folding model used in many fields. This paper describes how arrangementtheory can be usefully employed in solving the problems of counting (i) thenumber of admissible rankings in an u
Publikováno v:
Annals of Combinatorics. 15:449-464
An integral coefficient matrix determines an integral arrangement of hyperplanes in $${\mathbb{R}^m}$$ . After modulo q reduction $${(q \in {\mathbb{Z}_{ >0 }})}$$ , the same matrix determines an arrangement $${\mathcal{A}_q}$$ of “hyperplanes” i
Publikováno v:
Advances in Applied Mathematics. 47(2):379-400
We consider the problem of counting the number of possible sets of rankings (called ranking patterns) generated by unfolding models of codimension one. We express the ranking patterns as slices of the braid arrangement and show that all braid slices,
Autor:
Hidehiko Kamiya, Akimichi Takemura
Publikováno v:
Journal of Multivariate Analysis. 99(3):339-357
Elliptically contoured distributions can be considered to be the distributions for which the contours of the density functions are proportional ellipsoids. Kamiya, Takemura and Kuriki [Star-shaped distributions and their generalizations, J. Statist.
Publikováno v:
Annals of Combinatorics. 10:219-235
In the unidimensional unfolding model, given m objects in general position on the real line, there arise 1 + m(m − 1)/2 rankings. The set of rankings is called the ranking pattern of the m given objects. Change of the position of these m objects re
Autor:
Akimichi Takemura, Hidehiko Kamiya
Publikováno v:
Journal of Multivariate Analysis. 92:343-358
Pairwise linear discriminant analysis can be regarded as a process to generate rankings of the populations. But in general, not all rankings are generated. We give a characterization of generated rankings. We also derive some basic properties of this
Autor:
Hidehiko Kamiya
Two Bayesian models with different sampling densities are said to be marginally equivalent if the joint distribution of observables and the parameter of interest is the same for both models. We discuss marginal equivalence in the general framework of
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5db58f79fe869e8c325c648a6296d4e2
http://arxiv.org/abs/1403.7379
http://arxiv.org/abs/1403.7379
Autor:
Hidehiko Kamiya, Shinto Eguchi
Publikováno v:
Journal of Multivariate Analysis. 77:239-269
This paper is concerned with a study of robust estimation in principal component analysis. A class of robust estimators which are characterized as eigenvectors of weighted sample covariance matrices is proposed, where the weight functions recursively
Autor:
Akimichi Takemura, Hidehiko Kamiya
Publikováno v:
JOURNAL OF THE JAPAN STATISTICAL SOCIETY. 30:43-51
We consider the same problem as in Kamiya and Takemura(1997), but for discriminant analysis on (n-1)-dimensional unit sphere s n-1. That is, we regard pairwise discriminant analysis of m populations on s n-1 as a process to generate rankings among th