Application of Statistics in Physics

From Physics Book
Jump to navigation Jump to search

Claimed by Edwin Solis (April 16th, Spring 2022)

With the development of Quantum Mechanics and Statistical Mechanics, the subject of Statistics has become quintessential for understanding the foundation of these physical theories.

Basics

Probability

Probability is the numerical description of the likelihood of an event occurring from a sample space written as a value between 0 and 1. This event is just the outcome of executing an experiment, and the sample space is just the whole set of outcomes possible from this experiment. In general, the probability is defined as [math]\displaystyle{ P(A)=\frac{\text{# Number of times A occurs}}{\text{# Total number of outcomes}} }[/math]

Random Variables

Discrete

Continuous

Expectation

Variance and Standard Deviation

Common distributions

Statistical population and samples

Uses

Statistical Mechanics

Quantum Physics