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hyperbolic_secant_distribution [2019/11/18 13:34]
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-====== Hyperbolic Secant Distribution ====== 
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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. 
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-A random variable follows a hyperbolic secant distribution if its probability density function (pdf) is 
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-f(x,a,b) = sech((x-a)/b)/(pi//b)// 
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-where “sech” denotes the hyperbolic secant function. 
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-The hyperbolic secant distribution shares many properties with the standard normal distribution: it is symmetric with unit variance and zero mean, median and mode, and its pdf is proportional to its characteristic function. However, the hyperbolic secant distribution is leptokurtic, that is, it has a more acute peak near its mean, compared with the standard normal distribution. 
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-support -Inf <= x <= Inf 
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-^Parameter^Description           ^Default value^ 
-|a        |The location parameter|0.0          | 
-|b        |The scale parameter   |1.0          | 
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hyperbolic_secant_distribution.1574080455.txt.gz · Last modified: 2019/11/18 13:34 by 127.0.0.1