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AN00150430-00000058-0075.pdf
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Title |
Title |
確率論の基礎概念 I
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Kana |
カクリツロン ノ キソ ガイネン I
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Romanization |
Kakuritsuron no kiso gainen I
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Other Title |
Title |
Fundamental concepts of probability theory I
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Creator |
Name |
大出, 晁
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Kana |
オオイデ, アキラ
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Romanization |
Oide, Akira
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Affiliation |
慶應義塾大学
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三田哲學會
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Kana |
ミタ テツガクカイ
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Romanization |
Mita tetsugakukai
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1971
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哲學
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58
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Year |
1971
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Month |
12
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Start page |
67
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End page |
86
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Abstract |
This article, with the second part to issue in the same review, forms an introductory part of a forthcoming paper concerning the analysis of structure of statistical inference. The fundamental concepts of measure-theoretical probability theory such as measure on σ-field of sets, extension theorems on measure and Lebesgue-Stieltjes integral are discussed in the parts I and II. The final object of the author in this series of papers is to make the fact clear that probability space is a mathematical model to be tested both from various points of view and by various procedures of test, and to point out the deductive character of statistical inference which is sometimes misconceived as if it were inductive.
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Table of contents |
まえがき
序論
1. 集合の半環,環,σ-環,体およびσ-体
2. 集合関数と測度
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