Skip to main content

All Questions

Filter by
Sorted by
Tagged with
3 votes
2 answers
1k views

How to determine the cut off value of an hyperellipsoid in order to retrieve a single quantile of a multivariate normal distribution?

Introduction My goal is to retrieve the $\alpha$ quantile of a N(0, H) (multivariate normal) random variable $X$ where H is a known d-dimensional positive definite matrix (with $d >3$). In other ...
Paul's user avatar
  • 85
5 votes
1 answer
1k views

Computing Highest Density Region given multivariate normal distribution with dimension $d$ > 3

Background: Suppose I have a unimodal symmetric distribution of dimension $d$ > 3 such as the multivariate normal distribution ~ N(0, H), where H is a known $d$-dimensional covariance matrix. ...
Paul's user avatar
  • 85