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An estimator of the correlation dimension is proposed based on $ mathrm{U} $-statistics, and compared with the weighted least squares estimator proposed by Kawaguchi and Yanagawa (2001). The proposed ...estimator is easier and faster to compute and has weaker mathematical assumption than the weighted least squares estimator. Moreover, it is shown by simulation that the proposed estimator provides more stable estimates than the weighted least squares estimator when the round-off error of the computer is taken into account.続きを見る
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