Mathematics – Probability
Scientific paper
2010-06-02
Mathematics
Probability
Scientific paper
The main results imply that the probability P(\ZZ\in A+\th) is Schur-concave/Schur-convex in (\th_1^2,\dots,\th_k^2) provided that the indicator function of a set A in \R^k is so, respectively; here, \th=(\th_1,\dots,\th_k) in \R^k and \ZZ is a standard normal random vector in \R^k. Moreover, it is shown that the Schur-concavity/Schur-convexity is strict unless the set A is equivalent to a spherically symmetric set. Applications to testing hypotheses on multivariate means are given.
No associations
LandOfFree
Schur^2-concavity properties of Gaussian measures, with applications to hypotheses testing does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Schur^2-concavity properties of Gaussian measures, with applications to hypotheses testing, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Schur^2-concavity properties of Gaussian measures, with applications to hypotheses testing will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-512952