Prediction of an Industrial Kneading Process via the Adjustment Curve

This work addresses the problem of predicting a binary response associated to a stochastic process. When observed data are of functional type a new method based on the definition of special Random Multiplicative Cascades is introduced to simulate the stochastic process. The adjustment curve is a decreasing function which gives the probability that a realization of the process is adjustable at each time before the end of the process. For real industrial processes, this curve can be used for monitoring and predicting the quality of the outcome before completion. Results of an application to data from an industrial kneading process are presented.