Category:Cumulative Frequency

This category contains results about Cumulative Frequency.
Definitions specific to this category can be found in Definitions/Cumulative Frequency.

Let $\struct {\Omega, \Sigma, \Pr}$ be a probability space.

Let $X$ be a discrete random variable on $\struct {\Omega, \Sigma, \Pr}$.

Absolute

The absolute cumulative frequency of $X$ is defined as:

$\forall x \in \Dom X: \map {\text {acf} } x = \ds \sum_{y \mathop \le x} \map \Omega y$

Relative

The relative cumulative frequency of $X$ is defined as:

$\forall x \in \Dom X: \map {\text {acf} } x = \dfrac {\ds \sum_{y \mathop \le x} \map \Omega y} {\size {\Dom X} }$