You are here: Symbol Reference > Probabilities Namespace > Functions > Probabilities.CauchyPDF Function
Cauchy probability density function (PDF).
|
Parameters |
Description |
|
x |
Function domain, real value. |
|
m |
Location parameter, real value. |
|
b |
Shape parameter, real positive value. |
the Cauchy probability density function (PDF) for given parameters b and m. Parameter b must be greater than zero, otherwise the result is NAN.
Calculates the Cauchy probability density function. The Cauchy probability density function is defined by the following equation:
where m is the location parameter, specifying the location of the peak of the distribution, and b is the scale parameter which specifies the half-width at half-maximum (HWHM). As a probability distribution, it is known as the Cauchy distribution while among physicists it is known as the Lorentz distribution or the Breit-Wigner distribution.
|
Copyright (c) 1999-2025 by Dew Research. All rights reserved.
|
What do you think about this topic? Send feedback!
|
File