Journal of the Japan Statistical Society, Japanese Issue

Online ISSN : 2189-1478
Print ISSN : 0389-5602
ISSN-L : 0389-5602

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Issue 2 Pages 57-
Issue 1 Pages 1-

Volume 7, Issue 2

Displaying 1-5 of 5 articles from this issue

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RELATIONS BETWEEN LIMITING BAYES ESTIMATES AND U-STATISTICS FOR ESTIMABLE PARAMETERS

Hajime Yamato

1977 Volume 7 Issue 2 Pages 57-66
Published: 1977
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.7.57

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Bayes estimates of estimable parameters against Dirichlet prior processes and squared error loss are obtained in one and two sample cases. Under certain conditions on kernels the limits of Bayes estimates have the asymptotic properties similar to the U-statistics. Furthermore some asymptotic properties are examined.

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A CLASS OF MINIMAX ESTIMATORS IN A REGRESSIN MODEL WITH ARBITRARY QUADRATIC LOSS

Takeaki Kariya

1977 Volume 7 Issue 2 Pages 67-73
Published: 1977
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.7.67

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This paper extends the results of Berger [3] by Efron and Morris [5] approach and specifies a class of minimax estimators for β in a linear regression model y=Xβ+u with loss (_??_-β)'Q(_??_-β)/σ² where Q is arbitrarily fixed. A sufficient condition for a minimax estimator in the class to be minimax under a different quadratic loss is also given.

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A UNIFIED DERIVATION OF ALTERNATIVE REGRESSIONS IN TERMS OF CANNONICAL ANALYSIS OF CORRELATION MATRIX

Jae-Rong Choi

1977 Volume 7 Issue 2 Pages 75-80
Published: 1977
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.7.75

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Attempts are made to express the estimators and their residuals of sub- and redge-regressions in terms of the eigen values and vectors of the correlation matrix of the dependent and independent variables.

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THE DISTRIBUTION OF THE STUDENTIZED CLASSIFICATION STATISTIC W^* IN COVARIATE DISCRIMINANT ANALYSIS

Mitsuyo Kanazawa, Yasunori Fujikoshi

1977 Volume 7 Issue 2 Pages 81-88
Published: 1977
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.7.81

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This paper deals with the classification statistic W^* in covariate discriminant analysis with two multivariate normal populations. An asymptotic expansion of the distribution of the Studentized classification statistic W^* is given with an error of the third order of the reciprocal of the number of observations. The expansion will be useful in setting our cut-off point to achieve a specified probability of misclassification.

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INEQUALITIES FOR CERTAIN PARTIALLY BALANCED INCOMPLETE BLOCK DESIGNS

Sanpei Kageyama

1977 Volume 7 Issue 2 Pages 89-93
Published: 1977
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.7.89

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This paper provides practical bounds for the number of treatments common to any two blocks of singular group divisible, triangular, and L₂ symmetrical partially balanced incomplete block designs. Some examples attaining these bounds are presented.

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