Contrast Functions on Statistical Models

Ovidiu Calin and Constantin Udrişte
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Ovidiu Calin: Eastern Michigan University, Department of Mathematics
Constantin Udrişte: University Politehnica of Bucharest, Faculty of Applied Sciences Department of Mathematics-Informatics

Chapter Chapter 12 in Geometric Modeling in Probability and Statistics, 2014, pp 321-334 from Springer

Abstract: Abstract This chapter deals with some important examples of contrastfunctions contrast function on a space of density functions, such as: Bregman divergence, Kullback–Leibler relative entropy, f-divergence, Hellinger distance, Chernoff information, Jefferey distance, Kagan divergence, and exponential contrast function. The relation with the skewness tensor and α-connection is made. The goal of this chapter is to produce hands-on examples for the theoretical concepts introduced in Chap. 11 .

Keywords: Convex Function; Discrete Distribution; Exponential Family; Linear Connection; Contrast Function (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-07779-6_12

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DOI: 10.1007/978-3-319-07779-6_12

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