Statistical Views on Historical Events and the Development of Methods of Inference

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Other Title
  • 歴史的事象の統計的考察と画期的な推測法の進展(交流)
  • 歴史的事象の統計的考察と画期的な推測法の進展
  • レキシテキ ジショウ ノ トウケイテキ コウサツ ト カッキテキ ナ スイソクホウ ノ シンテン

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Abstract

In the article, we give statistical views on the occurrence of historical events like the Tohoku Earthquake causing an unprecedented natural disaster. In a history of statistics, from the end of 19th century to the beginning of 20th century, the most important discovery of the methods of statistical inference was made, and they are still widely used. In particular, we take up the chi-square goodness-of-fit test by K. Pearson (l857-1936) and the method of inference based on Student's t-distribution by W. S. Gosset (1876-1937), and further discuss recent results on the higher order approximation to a percentage point of the non-central t-distribution as the basis of the latter. Both of the methods of inference are usually used in statistical inference and data analysis, etc. even now.

Journal

  • Butsuri

    Butsuri 68 (2), 81-88, 2013-02-05

    The Physical Society of Japan

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