Statistics: hncdf

### Function Reference: `hncdf`

statistics: p = hncdf (x, mu, sigma)
statistics: p = hncdf (x, mu, sigma, `"upper"`)

Half-normal cumulative distribution function (CDF).

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

`[…] = hncdf (x, mu, sigma, "upper")` computes the upper tail probability of the half-normal distribution with parameters mu and sigma, at the values in x.

The half-normal CDF is only defined for `x >= mu`.

Further information about the half-normal distribution can be found at https://en.wikipedia.org/wiki/Half-normal_distribution

See also: hninv, hnpdf, hnrnd, hnfit, hnlike

Source Code: hncdf

### Example: 1

     ## Plot various CDFs from the half-normal distribution
     x = 0:0.001:10;
     p1 = hncdf (x, 0, 1);
     p2 = hncdf (x, 0, 2);
     p3 = hncdf (x, 0, 3);
     p4 = hncdf (x, 0, 5);
     plot (x, p1, "-b", x, p2, "-g", x, p3, "-r", x, p4, "-c")
     grid on
     xlim ([0, 10])
     legend ({"μ = 0, σ = 1", "μ = 0, σ = 2", ...
              "μ = 0, σ = 3", "μ = 0, σ = 5"}, "location", "southeast")
     title ("Half-normal CDF")
     xlabel ("values in x")
     ylabel ("probability")

### Example: 2

     ## Plot half-normal against normal cumulative distribution function
     x = -5:0.001:5;
     p1 = hncdf (x, 0, 1);
     p2 = normcdf (x);
     plot (x, p1, "-b", x, p2, "-g")
     grid on
     xlim ([-5, 5])
     legend ({"half-normal with μ = 0, σ = 1", ...
              "standart normal (μ = 0, σ = 1)"}, "location", "southeast")
     title ("Half-normal against standard normal CDF")
     xlabel ("values in x")
     ylabel ("probability")