# Category:Uncertainty

Jump to navigation
Jump to search

This category contains results about Uncertainty.

Let $X$ be a random variable.

Let $X$ take a finite number of values with probabilities $p_1, p_2, \dotsc, p_n$.

The **uncertainty** of $X$ is defined to be:

- $\map H X = \displaystyle -\sum_k p_k \lg p_k$

where:

- $\lg$ denotes logarithm base $2$
- the summation is over those $k$ where $p_k > 0$.

## Subcategories

This category has only the following subcategory.

## Pages in category "Uncertainty"

The following 2 pages are in this category, out of 2 total.