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Function Reference: logipdf

statistics: y = logipdf (x, mu, sigma)

Logistic probability density function (PDF).

For each element of x, compute the probability density function (PDF) of the logistic 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.

Both parameters must be reals and sigma > 0. For sigma <= 0, NaN is returned.

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

See also: logicdf, logiinv, logirnd, logifit, logilike, logistat

Source Code: logipdf

Example: 1

  

 ## Plot various PDFs from the logistic distribution
 x = -5:0.01:20;
 y1 = logipdf (x, 5, 2);
 y2 = logipdf (x, 9, 3);
 y3 = logipdf (x, 9, 4);
 y4 = logipdf (x, 6, 2);
 y5 = logipdf (x, 2, 1);
 plot (x, y1, "-b", x, y2, "-g", x, y3, "-r", x, y4, "-c", x, y5, "-m")
 grid on
 ylim ([0, 0.3])
 legend ({"μ = 5, σ = 2", "μ = 9, σ = 3", "μ = 9, σ = 4", ...
          "μ = 6, σ = 2", "μ = 2, σ = 1"}, "location", "northeast")
 title ("Logistic PDF")
 xlabel ("values in x")
 ylabel ("density")
plotted figure