COMPUTER-AIDED METHOD FOR CONSTRUCTION OF KINETIC-MODELS OF CHEMICAL-REACTIONS, BASED ON APPLICATION OF CHEBYSHEV-HERMITE POLYNOMIALS

A new method for determination of sampling parameter distribution dens ity p(<(theta)over bar>)is presented. This method does not use the lin earization procedure of the initial kinetic model in the decision proc ess over the numeric values of <(theta)over bar>(i) (parameters). In e ssence the method consists in constructing the sampling distribution d ensity of the non-linear model in a form according to the biorthogonal system for Chebyshev-Hermite polynomials. Besides, the selection proc esses for the random vector of;observations, which is indispensable fo r the calculation of the decomposition coefficients, are generated by the statistical model method. Based on the sampling distribution densi ty obtained in this way, we can take fundamental decisions about the n umeric values of the parameters, correct the initial model and apply m ore effectively the experimental design methods for the precise estima tions, fn particular, and according to the elective distribution densi ty, not only the exact estimations of maximum likelihood are calculate d, but also the confident intervals and domains. (C) 1998 Published by Elsevier Science Ltd. All rights reserved.