hnpdf
Half-normal probability density function (PDF).
For each element of x, compute the probability density function (PDF) of the half-normal distribution with location parameter mu and scale parameter sigma. The size of y 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.
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: hncdf, hninv, hnrnd, hnfit, hnlike, hnstat
Source Code: hnpdf
## Plot various PDFs from the half-normal distribution
x = 0:0.001:10;
y1 = hnpdf (x, 0, 1);
y2 = hnpdf (x, 0, 2);
y3 = hnpdf (x, 0, 3);
y4 = hnpdf (x, 0, 5);
plot (x, y1, "-b", x, y2, "-g", x, y3, "-r", x, y4, "-c")
grid on
xlim ([0, 10])
ylim ([0, 0.9])
legend ({"μ = 0, σ = 1", "μ = 0, σ = 2", ...
"μ = 0, σ = 3", "μ = 0, σ = 5"}, "location", "northeast")
title ("Half-normal PDF")
xlabel ("values in x")
ylabel ("density")
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## Plot half-normal against normal probability density function
x = -5:0.001:5;
y1 = hnpdf (x, 0, 1);
y2 = normpdf (x);
plot (x, y1, "-b", x, y2, "-g")
grid on
xlim ([-5, 5])
ylim ([0, 0.9])
legend ({"half-normal with μ = 0, σ = 1", ...
"standart normal (μ = 0, σ = 1)"}, "location", "northeast")
title ("Half-normal against standard normal PDF")
xlabel ("values in x")
ylabel ("density")
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