# Statistics & Probabilities Intro

March 29, 2018

It seems difficult to describe a random vibration signal quantitatively. Even the question, “How large is the signal?” is challenging. This section covers some of the ways random signals are quantified, including statistical measures, such as the mean value, and probability distributions, such as the normal curve. It also covers product design applications, such as tolerances, and fatigue analysis.

In this section, we assume that a continuous vibration signal, x(t), has been digitized into a sequence of numbers, xnn = 1, …, N, for analysis.