Statistics: unidinv

### Function Reference: `unidinv`

statistics: x = unidinv (p, N)

Inverse of the discrete uniform cumulative distribution function (iCDF).

For each element of p, compute the quantile (the inverse of the CDF) of the discrete uniform distribution with parameter N, which corresponds to the maximum observable value. `unidinv` assumes the integer values in the range [1,N] with equal probability. The size of x is the common size of p and N. A scalar input functions as a constant matrix of the same size as the other inputs.

The maximum observable values in N must be positive integers, otherwise `NaN` is returned.

Warning: The underlying implementation uses the double class and will only be accurate for N < `flintmax` (2^53 on IEEE 754 compatible systems).

Further information about the discrete uniform distribution can be found at https://en.wikipedia.org/wiki/Discrete_uniform_distribution

See also: unidcdf, unidpdf, unidrnd, unidfit, unidstat

Source Code: unidinv

### Example: 1

     ## Plot various iCDFs from the discrete uniform distribution
     p = 0.001:0.001:0.999;
     x1 = unidinv (p, 5);
     x2 = unidinv (p, 9);
     plot (p, x1, "-b", p, x2, "-g")
     grid on
     xlim ([0, 1])
     ylim ([0, 10])
     legend ({"N = 5", "N = 9"}, "location", "northwest")
     title ("Discrete uniform iCDF")
     xlabel ("probability")
     ylabel ("values in x")