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Probability Metrics and their applications
by
Shaghayegh Kordnourie
Department of statistics ,The Islamic Azad University North Tehran Branch;Iran
Coauthors: Hamidreza Mostafaei
Department of statistics ,The Islamic Azad University North Tehran Branch;Iran
E-mail:hrmostafaei@yahoo.com
Abstract. In this article, we introduce the definitions and characteristics of some important probability metrics (distances); furthermore, we examine some applications of these metrics. The relationships among these metrics are evaluated. Finally, we study the convexity property of metrics and this property is investigated for the Birnbaum-Orlicz average distance. Key words: probability metrics, Relative entropy, Wasserstein metric, Birnbaum-Orlicz average distance, convexity
Date received: July 24, 2008
Copyright © 2008 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # caxi-53.