Cauchy–Lorentz standar distribution ( probability density function)

Description

In probability and statistics,the Cauchy distribution, is a continuous probability distribution. It is the distribution of a random variable that is the ratio of two independent standard normal variables.When U and V are two independent normally distributed random variables with expected value 0 and variance 1, then the ratio U/V has the standard Cauchy distribution. The probability density function is for f(x : 0,1)

Related formulas

Variables

fxProbability density function (dimensionless)
πpi
xVariable (dimensionless)
γThe scale parameter ( γ = 1 ) for standar distribution (dimensionless)