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Moments and Classification for Conjugation-Invariant Distributions and Application to the Stochastic Radon Transform

2011-11-22  |  lxyyb

Venue: Moments and Classification for Conjugation-Invariant Distributions and Application to the Stochastic  Radon Transform

Speaker: Rau, Christian Robert Friedrich, School of Mathematical Sciences Monash University, Melbourne, Australia

Time: 22 November 2011,10:00-11:00

Location: Room 201, Sir Run Run Shaw Business Adminisration Building, Yuquan Campus

Abstract:

In this talk I shall discuss a relationship between moments of certain densities related to rotation distributions, based on a simple geometric idea, as well as a Bayes classifier that parallels a well-known formula for the multivariate Normal distribution in Euclidean space. These results are then utilised in the study of a generalisation of the stochastic Radon transform introduced for an inverse problem in tomography by Panaretos (Annals of Statistics, 2009).

Only an elementary knowledge of probability and statistics will be assumed, and the necessary background will be introduced in the talk.