Statistics Toolbox

Discrete Uniform Distribution

The following sections provide an overview of the discrete uniform distribution.

Background of the Discrete Uniform Distribution

The discrete uniform distribution is a simple distribution that puts equal weight on the integers from one to N.

Definition of the Discrete Uniform Distribution

The discrete uniform pdf is

Example and Plot of the Discrete Uniform Distribution

As for all discrete distributions, the cdf is a step function. The plot shows the discrete uniform cdf for N = 10.

• x = 0:10;
  y = unidcdf(x,10);
  stairs(x,y)
  set(gca,'Xlim',[0 11])
  
  
  

To pick a random sample of 10 from a list of 553 items:

• numbers = unidrnd(553,1,10)
  numbers =
     293   372     5   213    37   231   380   326   515   468
  

Noncentral Chi-Square Distribution

Exponential Distribution