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 inverse hyperbolic cosine, and thus this distribution is also called the inverse-cosh distribution.

For the Hyperbolic Secant Distribution App three data parameters for Location (μ), Scale (σ) and (x) Variable are input via sliders to compute PDF and CDF values and the Hyperbolic Secant Distribution mean and variance. The PDF, CDF and Sech values are displayed both in data table and graph forms

The PDF, CDF and Sech graphs are touch interactive graphs for computed (x/Pr(x) paired values. The graphs have a touch feature whereby upon the touch a slidable vertical line appears. Upon movement of the line a paired (x,Pr(x) values appear relative to the line position on the graph curve.

The horizontal x-axis displays computed (x) values. The vertical y-axis plots a range of Pr(x) values.