November 1991

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35 Citations

The results of several works concerning estimates of correlation dimension have recently been criticized on the basis of a new upper bound on such estimates (i.e. 2 log_{10} N, where N is the number of data). It is shown here that this bound is not valid for correlation dimension estimates in general, and furthermore it is too weak to be useful for regimes where it does hold. This casts the indicated criticism into question.