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On estimators for information dimension

By Manfred Denker, Aleksey Min, Georg-august-universität Göttingen and Technische Universität München

Abstract

We introduce a new estimator for the information dimension. Keller (1997) posed the question whether this estimator is an alternative to standard procedures. We show consistency and asymptotic normality of this estimator in the case of i.i.d. random vectors. Simulations show that it performs well.

Year: 2010
OAI identifier: oai:CiteSeerX.psu:10.1.1.178.3932
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