### Function Reference: `plcdf`

statistics: p = plcdf (data, x, Fx)
statistics: p = plcdf (data, x, Fx, `"upper"`)

Piecewise linear cumulative distribution function (CDF).

For each element of data, compute the cumulative distribution function (CDF) 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.

`p = plcdf (data, x, Fx, "upper")` computes the upper tail probability of the piecewise linear distribution with parameters x and Fx, at the values in data.

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

See also: plinv, plpdf, plrnd, plstat

Source Code: plcdf

### Example: 1

     ## Plot various CDFs 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];
     p1 = plcdf (data, x1, Fx1);
     p2 = plcdf (data, x2, Fx2);
     plot (data, p1, "-b", data, p2, "g")
     grid on
     ylim ([0, 1])
     xlim ([0, 10])
     legend ({"x1, Fx1", "x2, Fx2"}, "location", "southeast")
     title ("Piecewise linear CDF")
     xlabel ("values in data")
     ylabel ("probability")