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In probability theory and statistics, the hyperbolic secant distribution is a continuous probability distribution whose probability density function and characteristic function are proportional to the hyperbolic secant function. The hyperbolic secant function is equivalent to the reciprocal hyperbolic cosine, and thus this distribution is also called the inverse-cosh distribution. Generalisation of the distribution gives rise to the Meixner distribution, also known as the Natural Exponential Family - Generalised Hyperbolic Secant or NEF-GHS distribution.

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  • Hyperbolic secant distribution (en)
  • Loi sécante hyperbolique (fr)
  • 双曲線正割分布 (ja)
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  • In probability theory and statistics, the hyperbolic secant distribution is a continuous probability distribution whose probability density function and characteristic function are proportional to the hyperbolic secant function. The hyperbolic secant function is equivalent to the reciprocal hyperbolic cosine, and thus this distribution is also called the inverse-cosh distribution. Generalisation of the distribution gives rise to the Meixner distribution, also known as the Natural Exponential Family - Generalised Hyperbolic Secant or NEF-GHS distribution. (en)
  • En théorie des probabilités et en statistique, la loi sécante hyperbolique est une loi de probabilité à densité dont la densité de probabilité et la fonction caractéristique sont proportionnelles à la fonction sécante hyperbolique. (fr)
  • 統計学および確率論において、双曲線正割分布(そうきょくせんせいかつぶんぷ、英: hyperbolic secant distribution)は、その確率密度関数と特性関数が双曲線正割関数 (sech) に比例する連続確率分布である。 (ja)
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  • hyperbolic secant (en)
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  • http://commons.wikimedia.org/wiki/Special:FilePath/Hyper_secant_cdf.svg
  • http://commons.wikimedia.org/wiki/Special:FilePath/Hyper_secant_pdf.svg
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  • density (en)
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  • In probability theory and statistics, the hyperbolic secant distribution is a continuous probability distribution whose probability density function and characteristic function are proportional to the hyperbolic secant function. The hyperbolic secant function is equivalent to the reciprocal hyperbolic cosine, and thus this distribution is also called the inverse-cosh distribution. Generalisation of the distribution gives rise to the Meixner distribution, also known as the Natural Exponential Family - Generalised Hyperbolic Secant or NEF-GHS distribution. (en)
  • En théorie des probabilités et en statistique, la loi sécante hyperbolique est une loi de probabilité à densité dont la densité de probabilité et la fonction caractéristique sont proportionnelles à la fonction sécante hyperbolique. (fr)
  • 統計学および確率論において、双曲線正割分布(そうきょくせんせいかつぶんぷ、英: hyperbolic secant distribution)は、その確率密度関数と特性関数が双曲線正割関数 (sech) に比例する連続確率分布である。 (ja)
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