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- Monhor Davaadorjin
- Department of Geophysics, Graduate School of Science, Kyoto University
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- 竹本 修三
- 京都大学大学院理学研究科地球物理学教室
書誌事項
- タイトル別名
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- Geodetic and Astronomical Contributions to the Invention of the Normal Distribution:Some Refinements and New Evidences
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説明
In the community of geodesy it is well-known that the famous normal distribution originated from the mathematical analysis of observational errors in astronomical and geodetic measurements. However, as far as we know this aspect of scientific history which is of considerable interest for the community of geodesy has not been considered in geodetic literature. We put forward our own independent views that make several refinements to the topic, and give - using the modern results of the central limit theorem - a new straightforward derivation of normal distribution from the Hagen's hypotheses. We observed and presented in this paper that a characteristic property of normal distribution discovered by Forster, a geodesist and Pblya, a mathematician gave rise to theory of stable distributions which is an important new branch of modern probability theory.
収録刊行物
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- 測地学会誌
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測地学会誌 51 (4), 175-189, 2005
日本測地学会
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詳細情報 詳細情報について
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- CRID
- 1390001204066484224
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- NII論文ID
- 130004070145
- 10017259708
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- NII書誌ID
- AN00134900
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- ISSN
- 2185517X
- 00380830
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- NDL書誌ID
- 7822269
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- データソース種別
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- JaLC
- NDL
- CiNii Articles
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- 抄録ライセンスフラグ
- 使用不可