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Article type: Cover
2000 Volume 12 Issue 1 Pages
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Published: June 30, 2000
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Article type: Cover
2000 Volume 12 Issue 1 Pages
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Article type: Appendix
2000 Volume 12 Issue 1 Pages
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Article type: Index
2000 Volume 12 Issue 1 Pages
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Article type: Index
2000 Volume 12 Issue 1 Pages
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Masashi Goto
Article type: Article
2000 Volume 12 Issue 1 Pages
1-6
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Takahiro Nakamura, Yasumasa Baba
Article type: Article
2000 Volume 12 Issue 1 Pages
7-21
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Homogeneity analysis which includes principal component analysis as a special case is a useful method for describing data structure on a low dimensional space. In the method the homogeneity defined by a loss function based on distance between vectors is used as a measure of homogeneity of variables. Introducing a measure based on distance between a vector and a higher dimensional space, we can extend a concept of homogeneity more broadly, that is, the loss function which defines homogeneity is based on distance between a variable vector and a low dimensional space. In this paper a new method for describing data structure on a low dimensional space is proposed by a natural extension of the concept of homogeneity. The method describes data structure on a low dimensional space by minimizing the loss function based on distances between vectors and a space.
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Zhong Zhang, Hiroaki Kawabata
Article type: Article
2000 Volume 12 Issue 1 Pages
23-33
Published: June 30, 2000
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In this paper, we examine a fast computing method of continuous wavelet transform. That is, we propose ways to improve accuracy and to compute phase information which arise in attempting to do fast algorithm in frequency domain. To improve accuracy, it is effective to use mother wavelets whose frequency is lower by 2 octaves than the Nyquist frequency. This technique doesn't have an influence on the computational speed regardless of improving computation accuracy. Moreover, to get a high degree of accuracy in high frequency area, to use up-sampling by L-Spline interpolation it is effective. In addition, the effectivity of our method for phase infomation was confirmed by model signal.
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Ruriko Taniguchi
Article type: Article
2000 Volume 12 Issue 1 Pages
35-44
Published: June 30, 2000
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Varimax rotation is often used in factor analysis in order to make the factors easy to interpret. In this paper we apply the rotation to Hayashi's second method of quantification, and tries to make the category scores easy to interpret. The rotation is applied to the category scores standardized in terms of both the frequency-weighted mean and the within-group variance. A set of simple artificial data is presented to illustrate the method. Then the method is applied to two data sets: medical data on the aged with 9 groups, 62 individuals and 16 variables, and Fisher's iris data. Finally two results, those obtained by applying varimax rotation to canonical discriminant analysis and those obtained by applying the rotation to Hayashi's second method of quantification, are compared.
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Nobuo SHIMIZU, Masahiro MIZUTA, Yoshiharu SATO
Article type: Article
2000 Volume 12 Issue 1 Pages
45-53
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In this paper, we discuss properties of uniqueness of principal points of symmetric univariate distributions. Li & Flury(1995) have proposed a sufficient condition that k principal points of symmetric univariate distributions are symmetry with respect to the expectations. We point out some mistakes in the deriving process of the sufficient condition by Li & Flury(1995), and derive the sufficient condition of uniqueness of k principal points of symmetric univariate distributions using a sufficient condition for the uniqueness of best L_2 approximation by piecewise polynomials with variable breakpoints by Chow(1982). We also derive another sufficient condition of uniqueness of k principal points of symmetric univariate distributions using a sufficient condition for the uniqueness of optimum quantizing of univariate random variables with mean-square error criterion by Trushkin(1982).
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Kayoko Kurita
Article type: Article
2000 Volume 12 Issue 1 Pages
55-60
Published: June 30, 2000
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Masashi Goto, Wataru Sakamoto, Takashi Daimon
Article type: Article
2000 Volume 12 Issue 1 Pages
61-62
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[in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
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[in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
62-64
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[in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
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[in Japanese], [in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
65-
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[in Japanese], [in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
65-
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[in Japanese], [in Japanese], [in Japanese], [in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
65-
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[in Japanese], [in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
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[in Japanese], [in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
66-
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[in Japanese], [in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
66-
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[in Japanese], [in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
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Article type: Article
2000 Volume 12 Issue 1 Pages
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2000 Volume 12 Issue 1 Pages
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2000 Volume 12 Issue 1 Pages
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2000 Volume 12 Issue 1 Pages
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Article type: Article
2000 Volume 12 Issue 1 Pages
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[in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
67-68
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[in Japanese], [in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
68-
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[in Japanese], [in Japanese], [in Japanese], [in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
68-69
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Article type: Article
2000 Volume 12 Issue 1 Pages
69-70
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2000 Volume 12 Issue 1 Pages
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2000 Volume 12 Issue 1 Pages
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2000 Volume 12 Issue 1 Pages
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Article type: Article
2000 Volume 12 Issue 1 Pages
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[in Japanese], [in Japanese], [in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
70-71
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Article type: Article
2000 Volume 12 Issue 1 Pages
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2000 Volume 12 Issue 1 Pages
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[in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
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2000 Volume 12 Issue 1 Pages
72-
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2000 Volume 12 Issue 1 Pages
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Article type: Article
2000 Volume 12 Issue 1 Pages
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Article type: Article
2000 Volume 12 Issue 1 Pages
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2000 Volume 12 Issue 1 Pages
73-
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2000 Volume 12 Issue 1 Pages
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Article type: Article
2000 Volume 12 Issue 1 Pages
73-74
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[in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
74-
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[in Japanese], [in Japanese], [in Japanese]
Article type: Article
2000 Volume 12 Issue 1 Pages
74-75
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Norio Torigoe
Article type: Article
2000 Volume 12 Issue 1 Pages
76-77
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Article type: Appendix
2000 Volume 12 Issue 1 Pages
78-
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