Uniform distribution

Creator
Creator
Seonglae Cho
Created
Created
2024 Sep 25 11:4
Editor
Edited
Edited
2024 Dec 5 16:11
Refs
Refs

Highest
Shannon entropy

U(0,1)\mathcal{U}(0, 1)
In computing, every distribution starts from
Random number generation
and is the most useful in real life since it is the simplest one.

Probability Density Function
with
Indicator function

f(x)=1ba1[a,b](x)f(x) = \frac{1}{b-a} \mathbf{1}_{[a, b]}(x)

Cumulative Distribution Function

F(x)=xaba1[a,b](x)+1(b,)(x). F(x) = \frac{x - a}{b - a} \mathbf{1}_{[a, b]}(x) + \mathbf{1}_{(b, \infty)}(x). 
 
 
 
 
 
 
 

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