Non-Normal Probability Ellipse for Representing Bivariate Data of the Strength Properties of Timber II.

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  • Sonoda Satomi
    Toyama Prefectural Agricultural, Forestry and Fisheries Research Center
  • Fujita Kazuhiko
    Hiroshima Prefectural Technology Research Institute Forestry Research Center
  • Iijima Yasuo
    Institute of Wood Technology, Akita Prefectural University

Bibliographic Information

Other Title
  • 非正規確率楕円による木材強度データの<b>2</b>次元表現（第<b>2</b>報）
  • 非正規確率楕円による木材強度データの2次元表現(第2報)確率密度が一定な非正規確率楕円
  • ヒセイキ カクリツ ダエン ニ ヨル モクザイ キョウド データ ノ 2ジゲン ヒョウゲン(ダイ2ホウ)カクリツ ミツド ガ イッテイ ナ ヒセイキ カクリツ ダエン
  • Non-normal probability ellipse with constant probability density
  • 確率密度が一定な非正規確率楕円

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Abstract

This report presents a method for drawing a non-normal probability ellipse with constant probability density (dNNE). In other words, dNNE is a probability density contour for which inner probability is specified. The aim of this study is to develop modeling and visualization techniques for bivariate non-normal distributed data such as elasticity and strength of timber. We have mathematically examined probability density contours of bivariate distributions and inner probabilities of the contours, and a numerical calculation method for drawing dNNE was obtained. A procedure for evaluating the probability of a data region enclosed by a closed curve was introduced into this method. We have verified the following performances of the method by numerical experiments using some groups of accumulated timber strength data in bending. The performances included suitability of probability density contours, accuracy of inner probabilities, and visual expressiveness for bivariate data. These results confirmed that the method showed good performances.

Journal

  • Mokuzai Gakkaishi

    Mokuzai Gakkaishi 60 (2), 87-93, 2014

    The Japan Wood Research Society

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