Abstract

The distribution of parameter estimates from a finite data record is of concern for assessing the confidence in the resulting estimate. Our interest is in the development of nonlinear dynamical models from experimental data and the problem which arises in associating a degree of confidence with the estimated parameter values. If the distribution of the estimates were known then the variance might provide a sensible measure of confidence. Accordingly we consider here procedures for using a single data record to generate a distribution of parameter estimates.

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