---
title: "Hyperbolic-Secant"
canonical: "https://modelassist.epixanalytics.com/space/EA/26575235/Hyperbolic-Secant"
format: markdown
---
No CrystalBall function

HS(*m*,*s*)

[Hyperbolic-Secant equations](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26576211/)

 

The Hyperbolic-Secant distribution is a symmetric distribution similar to the Normal distribution and defined by its mean and standard deviation, but with a [kurtosis](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26575509) of 5, so it is more peaked than the Normal. Examples of the Hyperbolic-Secant distribution are given below, together with Normal distributions with the same mean and standard deviation:

 

![image](media://6b830e52-51fe-4115-bbe3-28e7807ac700)

### Uses

The Hyperbolic-Secant distribution can be used to fit data that seem to be approximately [Normal](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26575246/) in distribution but showing narrower shoulders, just as the [Generalised Error](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26575226) and [Student](https://epixanalytics.atlassian.net/wiki/spaces/EA/pages/26575254/) distributions are an option for data with wider shoulders than a Normal.

 

### Comments

The Hyperbolic-Secant distribution gets its (rather awful) name from the sech function in its probability density function.

 

 

 

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