## Gaussian Probability Density Function

Any non-negative function which integrates to 1 (unit total area) is suitable for use as a probability density function (PDF) (§C.1.3). The most general Gaussian PDF is given by shifts of the normalized Gaussian:

(D.28) |

The parameter is the

*mean*, and is the

*variance*of the distribution (we'll show this in §D.12 below).

**Next Section:**

Maximum Entropy Property of the Gaussian Distribution

**Previous Section:**

Why Gaussian?