Distribution Function

Last updated Nov 1, 2022

Let $F: \mathbb{R} \to \mathbb{R}$. Then $F$ is a distribution function if

1. $F$ is Non-Decreasing Function
2. $F$ is Right-Continuous

Denote $F(\infty)= \lim_{x \to \infty}F(x)$ and $F(-\infty)= \lim_{x \to -\infty}F(x)$.

• 2022-02-24 - Resnick - A Probability Path - pg247