Print Email Facebook Twitter On different characterizations of a normal distribution Title On different characterizations of a normal distribution Author van Wiechen, Hidde (TU Delft Electrical Engineering, Mathematics and Computer Science) Contributor Veraar, Mark (mentor) Degree granting institution Delft University of Technology Date 2018-08-31 Abstract The normal distribution is a very important distribution in probability theory and statisticsand has a lot of unique properties and characterizations. In this report we look at the proof of two of these characterizations and create counterparts of a normal distribution on abstract spaces, such as vector spaces and groups, which we shall call Gaussians. When we look at R^d, all these Gaussians coincide, along with a Gaussian vector in the normal sense, called multivariate normal. Furthermore, for one Gaussian we prove that it has exponential integrability properties. Subject normal distributionGaussiancharacterizationsAnalysisProbability Theory To reference this document use: http://resolver.tudelft.nl/uuid:e7490e19-15cb-4f68-bf15-89172b8d30d0 Part of collection Student theses Document type bachelor thesis Rights © 2018 Hidde van Wiechen Files PDF On_different_characteriza ... iechen.pdf 419.89 KB Close viewer /islandora/object/uuid:e7490e19-15cb-4f68-bf15-89172b8d30d0/datastream/OBJ/view