7. The Univariate and Multivariate Distributions
k. distinguish between a univariate and a multivariate distribution and explain the role of correlation in the multivariate normal distribution;
What is a univariate distribution?
It is a distribution with only a single random variable. e.g., modeling the distribution return on an asset.
What is a multivariate distribution?
A multivariate distribution specifies the probabilities for a group of related random variables. It is used to describe the probabilities of a group of continuous random variables if all of the individual variables follow a normal distribution.
When you are analyzing the returns on a portfolio of many stocks, what is the biggest determinant of variance?
Stock price correlation - if the stocks move up and down together - will be the biggest determinant of variation.
What are other names for a multivariate distribution?
A multivariate distribution is also called likelihood or joint distribution