Statistics: ricecdf

### Function Reference: `ricecdf`

statistics: p = ricecdf (x, nu, sigma)
statistics: p = ricecdf (x, nu, sigma, `"upper"`)

Rician cumulative distribution function (CDF).

For each element of x, compute the cumulative distribution function (CDF) of the Rician distribution with non-centrality (distance) parameter nu and scale parameter sigma. The size of p is the common size of x, nu, and sigma. A scalar input functions as a constant matrix of the same size as the other inputs.

`p = ricecdf (x, nu, sigma, "upper")` computes the upper tail probability of the Rician distribution with parameters nu and sigma, at the values in x.

Further information about the Rician distribution can be found at https://en.wikipedia.org/wiki/Rice_distribution

See also: riceinv, ricepdf, ricernd, ricefit, ricelike, ricestat

Source Code: ricecdf

### Example: 1

     ## Plot various CDFs from the Rician distribution
     x = 0:0.01:10;
     p1 = ricecdf (x, 0, 1);
     p2 = ricecdf (x, 0.5, 1);
     p3 = ricecdf (x, 1, 1);
     p4 = ricecdf (x, 2, 1);
     p5 = ricecdf (x, 4, 1);
     plot (x, p1, "-b", x, p2, "g", x, p3, "-r", x, p4, "-m", x, p5, "-k")
     grid on
     ylim ([0, 1])
     xlim ([0, 8])
     legend ({"ν = 0, σ = 1", "ν = 0.5, σ = 1", "ν = 1, σ = 1", ...
              "ν = 2, σ = 1", "ν = 4, σ = 1"}, "location", "southeast")
     title ("Rician CDF")
     xlabel ("values in x")
     ylabel ("probability")

### Example: 2

     ## Plot various CDFs from the Rician distribution
     x = 0:0.01:10;
     p1 = ricecdf (x, 0, 0.5);
     p2 = ricecdf (x, 0, 2);
     p3 = ricecdf (x, 0, 3);
     p4 = ricecdf (x, 2, 2);
     p5 = ricecdf (x, 4, 2);
     plot (x, p1, "-b", x, p2, "g", x, p3, "-r", x, p4, "-m", x, p5, "-k")
     grid on
     ylim ([0, 1])
     xlim ([0, 8])
     legend ({"ν = 0, σ = 0.5", "ν = 0, σ = 2", "ν = 0, σ = 3", ...
              "ν = 2, σ = 2", "ν = 4, σ = 2"}, "location", "southeast")
     title ("Rician CDF")
     xlabel ("values in x")
     ylabel ("probability")