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Function Reference: plpdf

statistics: y = plpdf (data, x, Fx)

Piecewise linear probability density function (PDF).

For each element of data, compute the probability density function (PDF) of the piecewise linear distribution with a vector of x values at which the CDF changes slope and a vector of CDF values Fx that correspond to each value in x. Both x and Fx must be vectors of the same size and at least 2-elements long. The size of p is the same as data.

Further information about the piecewise linear distribution can be found at https://en.wikipedia.org/wiki/Piecewise_linear_function

See also: plcdf, plinv, plrnd, plstat

Source Code: plpdf

Example: 1

Plot various PDFs from the Piecewise linear distribution

 data = 0:0.01:10;
 x1 = [0, 1, 3, 4, 7, 10];
 Fx1 = [0, 0.2, 0.5, 0.6, 0.7, 1];
 x2 = [0, 2, 5, 6, 7, 8];
 Fx2 = [0, 0.1, 0.3, 0.6, 0.9, 1];
 y1 = plpdf (data, x1, Fx1);
 y2 = plpdf (data, x2, Fx2);
 plot (data, y1, '-b', data, y2, 'g')
 grid on
 ylim ([0, 0.6])
 xlim ([0, 10])
 legend ({'x1, Fx1', 'x2, Fx2'}, 'location', 'northeast')
 title ('Piecewise linear CDF')
 xlabel ('values in data')
 ylabel ('density')
plotted figure