Explicit Examples

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 2 in Geometric Modeling in Probability and Statistics, 2014, pp 51-75 from Springer

Abstract: Abstract This chapter presents a few examples of usual statistical models (normal, lognormal, beta, gamma, Bernoulli, and geometric) for which we provide the Fisher metric Fisher metric explicitly and, if possible, the geodesics geodesics and α-autoparallel autoparallel curves. Some Fisher metrics will involve the use of non-elementary functions, such as the digamma and trigamma functions. trigamma function

Keywords: Fisher Information; Fisher Information Matrix; Hellinger Distance; Digamma Function; Hurwitz Zeta 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_2

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DOI: 10.1007/978-3-319-07779-6_2

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