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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)/ | ||
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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: | ||
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- | support -Inf <= x <= Inf | ||
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- | ^Parameter^Description | ||
- | |a |The location parameter|0.0 | ||
- | |b |The scale parameter | ||
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