Abstract
Given any finite set \(\mathcal{F}\) of (n − 1)-dimensional subspaces of ℝn we give examples of nonGaussian probability measures in ℝn whose marginal distribution in each subspace from \(\mathcal{F}\) is Gaussian. However, if \(\mathcal{F}\) is an infinite family of such (n − 1)-dimensional subspaces then such a nonGaussian probability measure in ℝn does not exist.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
