Hands-On Artificial Intelligence for Cybersecurity

The Gaussian distribution

In mathematical terms, the Gaussian distribution (also known as the normal distribution) represents a probability distribution of random variables, which takes the following mathematical form:

Here, µ represents the average, and σ² is the variance (which is representative of the variability of the data around the average value). In its standard form, the mean, µ, assumes the value of 0, and σ² assumes the value of 1.

The strength of the Gaussian distribution is the central limit theorem, which, in general terms, establishes that the average of the observational data of a random variable—extracted independently—converges ...