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En théorie des probabilités et en statistique, la loi log-Cauchy est la loi de probabilité d'une variable aléatoire dont le logarithme suit une loi de Cauchy. Si X suit une loi de Cauchy, alors est de loi log-Cauchy ; similairement, si Y suit une loi log-Cauchy, alors est de loi de Cauchy. Cette loi dépend de deux paramètres et . Si une variable X suit une loi log-Cauchy, on notera . (fr) In probability theory, a log-Cauchy distribution is a probability distribution of a random variable whose logarithm is distributed in accordance with a Cauchy distribution. If X is a random variable with a Cauchy distribution, then Y = exp(X) has a log-Cauchy distribution; likewise, if Y has a log-Cauchy distribution, then X = log(Y) has a Cauchy distribution. (en) 確率論における対数コーシー分布(たいすうコーシーぶんぷ、英: log-Cauchy distribution)とは、対数をとったものがコーシー分布に従うような確率変数が従う確率分布である。X がコーシー分布に従うならば Y = exp(X) は対数コーシー分布に従い、同様に Y が対数コーシー分布に従うなら X = log(Y) はコーシー分布に従う。 (ja) |
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En théorie des probabilités et en statistique, la loi log-Cauchy est la loi de probabilité d'une variable aléatoire dont le logarithme suit une loi de Cauchy. Si X suit une loi de Cauchy, alors est de loi log-Cauchy ; similairement, si Y suit une loi log-Cauchy, alors est de loi de Cauchy. Cette loi dépend de deux paramètres et . Si une variable X suit une loi log-Cauchy, on notera . (fr) In probability theory, a log-Cauchy distribution is a probability distribution of a random variable whose logarithm is distributed in accordance with a Cauchy distribution. If X is a random variable with a Cauchy distribution, then Y = exp(X) has a log-Cauchy distribution; likewise, if Y has a log-Cauchy distribution, then X = log(Y) has a Cauchy distribution. (en) 確率論における対数コーシー分布(たいすうコーシーぶんぷ、英: log-Cauchy distribution)とは、対数をとったものがコーシー分布に従うような確率変数が従う確率分布である。X がコーシー分布に従うならば Y = exp(X) は対数コーシー分布に従い、同様に Y が対数コーシー分布に従うなら X = log(Y) はコーシー分布に従う。 (ja) |
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Loi log-Cauchy (fr) Log-Cauchy distribution (en) 対数コーシー分布 (ja) |
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