The Logarithmic-Normal Distribution and its Solution Based on Moment Method

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  • Ishihara Tojiro
    社團法人土木學會 京大, 工学部土木工学教室
  • Takase Nobutada
    社團法人土木學會 京大, 工学部土木工学教室 宮崎工事事務所

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  • 対数正規分布とその積率による解法
  • タイスウ セイキ ブンプ ト ソノ セキリツ ニ ヨル カイホウ

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Hitherto, many seniors have tried several investigations on the un-symmetrical distributions in hydrologic statistics, and proposed several solutions. And these investigations are mostly related to the logarithmic-normal distribution.<br>In this paper, the authors propose a new solution based on the moment method of the logarithmic-normal distribution in which the upper limit is infinite and the lower limit b, and suggest a practical table that makes, extremely, the calculations simple. Moreover, using the moment method, the authors prove that the Gumbel distribution is, practically, a special case of the logarithmic-normal distribution.

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