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 103-
Issue 1 Pages 1-

Volume 11, Issue 2

Displaying 1-13 of 13 articles from this issue

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A TEST OF RELATIVE RISKS FOR REPEATED 2×2×2 CONTINGENCY TABLES WHEN THE OBSERVED PROPORTIONS ARE RESTRICTED

Takashi Yanagawa

1981 Volume 11 Issue 2 Pages 103-109
Published: 1981
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.11.103

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A chi-square statistic with 1 degree of freedom is developed for comparing relative risks for repeated 2×2×2 contingency tables when observed proportions satisfy some reasonable condition.

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AN APPROXIMATION OF THE LEFT TAIL OF A DISTRIBUTION FOR WAITING-TIME IN AN IRREVERSIBLE POINT PROCESS

Megu Ohtaki

1981 Volume 11 Issue 2 Pages 111-118
Published: 1981
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.11.111

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In this report we show that the left tail of a distribution for the waiting-time in an irreversible point process can be approximated fairly well by a gamma type distribution. Goodness of the approximation is exhibited by some numerical examples. The approximated formula will lead to versatile applica tion to data analysis in biological or medical study. An application of it to the quantification of carcinogenesis is illustrated.

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ASYMPTOTIC CONFIDENCE REGIONS FOR A LINEAR STRUCTURAL RELATIONSHIP

Masashi Okamoto, Yoshiko Isogawa

1981 Volume 11 Issue 2 Pages 119-126
Published: 1981
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.11.119

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For the problem of finding a confidence region for the linear structural relation, Brown's method, which assumes that the error variances are known, is shown to be applicable to the case when the error variances are unknown but equal. A new method is presented for obtaining first an asymptotic confidence region for the unknown coefficient vector based on the asymptotic distribution of the maximum likelihood estimator and then one for the structural hyperplane. Numerical computation in the bivariate case shows that our confidence region for the structural line is contained in Brown's region (modified in the above sense) with the same confidence level.

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A CLASS OF UNBIASED ESTIMATORS OF THE NORMAL CORRELATION COEFFICIENT IN THE INCOMPLETE SUFFICIENT CASE

Kosei Iwase

1981 Volume 11 Issue 2 Pages 127-141
Published: 1981
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.11.127

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A class of unbiased estimators, based on the incomplete sufficient statistics, of the correlation coefficient ρ of the bivariate normal distribution N (0, 0; 1, 1; ρ) was constructed, and their variances were computed for sample size n=1, 3 and n→∞.

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STATISTICAL ANALYSIS OF THE INTERVAL-CENSORED SAMPLE

Taichi Kariya

1981 Volume 11 Issue 2 Pages 143-160
Published: 1981
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.11.143

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An interval-censored sample problem, i.e., the situation where each observation is specified only by an interval, is formulated and the existence of MLE is discussed for one parameter case. It is shown, in particular, that an MLE does exist provided the sample size is sufficiently large and that it is unique in some special cases.

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RATE OF CONVERGENCE IN A NON-LINEAR RENEWAL THEOREM

Hajime Takahashi

1981 Volume 11 Issue 2 Pages 161-168
Published: 1981
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.11.161

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Let x₁, x₂, ... be i. i. d. with normal mean θ and variance 1. For some function Λ(x), the non-linear process Z_n=nΛ(s_n/n), s_n=x₁+...+x_n, plays an important role in some sequential analyses. The stopping time T=inf{n≥1:Z_n≥a} and the asymptotic distribution P_θ{Z_T-a≤x} of Z_T-a have been considered by Lai and Siegmund. This paper is concerned with the rate of convergence, which is shown to be of the order 0 (a^-1log⁵a) as a→∞.

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A GENERATION METHOD OF PHYSICAL RANDOM NUMBER SEQUENCE BY USING MICRO-COMPUTER

Shunsuke Kishimoto, Tetsuo Ikegami, Makoto Hiramatsu

1981 Volume 11 Issue 2 Pages 169-173
Published: 1981
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.11.169

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A new technique of generating a sequence of physical random numbers by using a micro-computer and radioisotope is proposed and compared with the traditional method.

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[title in Japanese]

1981 Volume 11 Issue 2 Pages 175-193
Published: 1981
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.11.175

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[title in Japanese]

[in Japanese], [in Japanese]

1981 Volume 11 Issue 2 Pages 195-199
Published: 1981
Released on J-STAGE: August 24, 2009

DOIhttps://doi.org/10.11329/jjss1970.11.195

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Erratum

1981 Volume 11 Issue 2 Pages 200a
Published: 1981
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.11.2_200a

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Erratum

1981 Volume 11 Issue 2 Pages 200b
Published: 1981
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.11.2_200b

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Erratum

1981 Volume 11 Issue 2 Pages 200c
Published: 1981
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.11.2_200c

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Erratum

1981 Volume 11 Issue 2 Pages 200d
Published: 1981
Released on J-STAGE: January 22, 2009

DOIhttps://doi.org/10.11329/jjss1970.11.2_200d

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