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タイトル: | Probability Distribution of Maxima of Random Surface |
著者: | TAKAHASHI, Nobuyuki OGURA, Hisanao |
発行日: | 30-Oct-1992 |
出版者: | Faculty of Engineering, Kyoto University |
誌名: | Memoirs of the Faculty of Engineering, Kyoto University |
巻: | 54 |
号: | 4 |
開始ページ: | 193 |
終了ページ: | 213 |
抄録: | The joint probability distributions are obtained of the extremum value, principal curvatures and the angle of their orientation of a random surface described by a homogeneous Gaussian random field. The probability density for the extrema is calculated as a marginal distribution, and is cast into a Gram-Charlier series in a form convenient for numerical calculation. Probability densities are numerically calculated for some isotropic spectral densities for an application in the microwave backscattering from ocean waves. Key Words : random surface, extremum, curvature, probability density, Gram-Charlier series |
URI: | http://hdl.handle.net/2433/281460 |
出現コレクション: | Vol.54 Part 4 |
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