Landaupdf
Contents
Definition
prob = landaupdf(x,mu,sigma) returns the probability density function at each of the values in /math-9dd4e461268c8034f5c8564e155c67a6.png "x")
using the Landau distribution with location paramter /math-c9faf6ead2cd2c2187bd943488de1d0a.png "\mu")
and scale parameter /math-a2ab7d71a0f07f388ff823293c147d21.png "\sigma")
.
/math-7bd2122e3032d057dd6b9294a4290b6a.png "p(x|\mu,\sigma)={\frac {1}{\pi \sigma}}\int _{0}^{\infty }e^{-t}\cos \left(t\left({\frac {x-\mu }{\sigma}}\right)+{\frac {2t}{\pi }}\log \left({\frac {t}{\sigma}}\right)\right)\,dt")
Syntax
double landaupdf(double x, double mu, double sigma)
Parameters
x
- Input, double.
/math-0ae946a990b8fb199c7f60f2bc27706b.png "x \geq 0")
mu
- Input, double. Location parameter of the Landau distribution
/math-f020c6b7428e8991d72c9bf1cf821cab.png "(-\infty < \mu< \infty)")
.
sigma
- Input, double. Scale parameter of the Landau distribution
/math-555cde78e7532dae968faaa9ca9841c0.png "( 0< \sigma< \infty)")
.
Examples
- landaupdf(3, 1, 2) = 0.1031123258564