Cumulative Distribution Function
Overview
The cumulative distribution function is a function that can be used to represent a random variable and used to calculate various statistics of that variable.
Cumulative Function
The joint cumulative distribution function for two random variables {% X %} and {% Y %} is defined as
{% Prob(X \leq x, Y \leq y) = F(x, y) %}
Marginal Distributions
{% F(x) = lim_{y \rightarrow \infty} F(x,y)%}