New prediction interval and band in the nonlinear regression model: Application to predictive modelling in food science
Résumé
We propose a new prediction interval and band for the nonlinear regression model. The construction principle of this interval and band is based on an exact confidence region for parameters of the nonlinear regression model. This region, fully described in Vila & Gauchi (2007), provides a rigorous justification for the new prediction interval and band that we propose. This new band is then compared to the classical bands, and also to the band based on the bootstrap resampling method. The comparison of these bands is undertaken with simulated and real data from predictive modelling in food science.
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