Important Probability Distributions
There is a set of probability distributions used in multivariate analyses that play a similar role to the corresponding set of distributions that are used in univariate analysis when the normal distribution is appropriate to a dataset. These multivariate distributions are:
-
- Multivariate normal distribution
- Wishart distribution
- Multivariate Student-t distribution.
The Inverse-Wishart distribution is important in Bayesian inference, for example in Bayesian multivariate linear regression. Additionally, Hotelling's T-squared distribution is a univariate distribution, generalising Student's t-distribution, that is used in multivariate hypothesis testing.
Read more about this topic: Multivariate Statistics
Famous quotes containing the words important and/or probability:
“To me, nothing can be more important than giving children books, It’s better to be giving books to children than drug treatment to them when they’re 15 years old. Did it ever occur to anyone that if you put nice libraries in public schools you wouldn’t have to put them in prisons?”
—Fran Lebowitz (20th century)
“The probability of learning something unusual from a newspaper is far greater than that of experiencing it; in other words, it is in the realm of the abstract that the more important things happen in these times, and it is the unimportant that happens in real life.”
—Robert Musil (1880–1942)