Inverse Gaussian distribution
Overview
Probability theory
Probability theory is the branch of mathematics concerned with analysis of random phenomena. The central objects of probability theory are random variables, stochastic processes, and events: mathematical abstractions of non-deterministic events or measured quantities that may either be single...
, the inverse Gaussian distribution (also known as the Wald distribution) is a two-parameter family of continuous probability distributions with support
Support (mathematics)
In mathematics, the support of a function is the set of points where the function is not zero, or the closure of that set . This concept is used very widely in mathematical analysis...
on (0,∞).
Its probability density function
Probability density function
In probability theory, a probability density function , or density of a continuous random variable is a function that describes the relative likelihood for this random variable to occur at a given point. The probability for the random variable to fall within a particular region is given by the...
is given by
for x > 0, where
is the mean and 
is the shape parameter.As λ tends to infinity, the inverse Gaussian distribution becomes more like a normal (Gaussian) distribution.
