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 1 in Geometric Modeling in Probability and Statistics, 2014, pp 3-49 from Springer

Abstract: Abstract This chapter presents the notion of statistical models, statistical model a structure associated with a family of probability distributions, which can be given a geometric structure. This chapter deals with statistical models given parametrically. By specifying the parameters of a distribution, we determine a unique element of the family. When the family of distributions can be described smoothly by a set of parameters, this can be considered as a multidimensional surface. We are interested in the study of the properties that do not depend on the choice of model coordinates.

Keywords: Multidimensional Surface; Skewness Tensor; Mixture Family; Exponential Family; Fisher Information (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_1

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DOI: 10.1007/978-3-319-07779-6_1

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