日本統計学会誌

THE STATISTICAL STRUCTURE OF BIOLOGICAL ASSAYS

D. J. Finney

1977 年 7 巻 1 号 p. 1-9
発行日: 1977年
公開日: 2009/01/22

DOIhttps://doi.org/10.11329/jjss1970.7.1

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ON ESTIMATING THE PARAMETER GAP OF TWO POPULATIONS BASED ON RANKED DATA

Takashi Matsui

1977 年 7 巻 1 号 p. 11-17
発行日: 1977年
公開日: 2009/01/22

DOIhttps://doi.org/10.11329/jjss1970.7.11

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Estimation of the parameter gap of two populations based on ranked data is studied.
n pairs of observations are drawn from two populations and each pair is replaced by ranked data (in our case, 0-1 data). A statistic Z is defined based on these ranked data to estimate the parameter (location or scale) gap θ.
As a special case, estimation of scale gap of two normal populations is studied.

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CONDITIONS FOR α-RESOLVABILITY AND AFFINE α-RESOLVABILITY OF INCOMPLETE BLOCK DESIGNS

Sanpei Kageyama

1977 年 7 巻 1 号 p. 19-25
発行日: 1977年
公開日: 2009/01/22

DOIhttps://doi.org/10.11329/jjss1970.7.19

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Necessary conditions, and necessary and sufficient conditions for α-resolvable are derived in terms of the characteristic roots of NN', where N is the incidence matrix of the design. A general necessary condition for the α-resolvability of an incomplete block design is also obtained. Furthermore, it is shown that there does not exist an affine α-resolvable m-associate partially balanced incomplete block (PBIB) design of regular type for m_??_2. Some applications of those necessary and sufficient conditions are further given.

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TREE GRAPH METHOD FOR VISUAL REPRESENTATION OF MULTI-DIMENSIONAL DATA

Kazumasa Wakimoto

1977 年 7 巻 1 号 p. 27-34
発行日: 1977年
公開日: 2009/01/22

DOIhttps://doi.org/10.11329/jjss1970.7.27

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In this paper, a tree graph is proposed as the method representing multidimensional data on a two-dimensional plane. The tree graph represents the respective multi-items by the branches, roots, fruits, leaves, heights and locations of the tree, and is recognized globally the characteristics and profiles of the data given. It seems to us that the tree graph is particularly superior to the other graphs presented heretofore in grasping the global correlation between one objective item and other items, the mutual correlation among the multi-items and time-dependent aspects of the data.

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SOME REMARKS ON BOUNDED INSURANCE CONTRACTS

Yoshinobu Teraoka

1977 年 7 巻 1 号 p. 35-42
発行日: 1977年
公開日: 2009/01/22

DOIhttps://doi.org/10.11329/jjss1970.7.35

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The purpose of this paper is to show the “optimal” insurance contracts from the viewpoint of each of the two participants, i.e., buyer and seller, under different assumptions discussed in the author's previous paper. It is shown that optimal insurance contracts are “minimum trancated” for the seller and “boundedly proportional” for the buyer. These results suggest that the latter contract is the common one for two participants.

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1977 年 7 巻 1 号 p. 56
発行日: 1977年
公開日: 2009/01/22

DOIhttps://doi.org/10.11329/jjss1970.7.1_56

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