Statistics/Distributions/Uniform

Continuous Uniform Distribution Uniform density 350px|PDF of the uniform probability distribution using the maximum convention at the transition points.Using maximum convention 350px|CDF of the uniform probability distribution. any value in 0 The (continuous) uniform distribution, as its name suggests, is a distribution with probability densities that are the same at each point in an interval. In casual terms, the uniform distribution shapes like a rectangle. Mathematically speaking, the probability density function of the uniform distribution is defined as And the cumulative distribution function is: Mean We derive the mean as follows. As the uniform distribution is 0 everywhere but [a, b] we can restrict ourselves that interval Variance We use the following formula for the variance. External links Interactive Uniform Distribution Web Applet (Java)