Title :
Validity of model simplification
Author :
Pacut, Andrzej ; Kolodziej, Wojtek J.
Author_Institution :
Dept. of Electr. & Comput. Eng., Oregon State Univ., Corvallis, OR, USA
Abstract :
The validity of model simplification is defined in statistical terms. Two models, the reference model and the simplified model, are compared. The simplified model is called 1-γ acceptable if it is not rejected with probability 1-γ, by a statistical test which uses data generated by the reference model. The model is called a valid simplification on the validity level ν if the ratio of the probability of its acceptance to the probability of acceptance of the reference model is equal to ν. This definition takes into account a possibility of observing the reference model rather than the data. The application of the Kolmogorov test to validity testing is discussed
Keywords :
modelling; probability; statistical analysis; Kolmogorov test; model simplification; reference model; statistical analysis; validity; Predictive models; Probability; Statistical analysis; Stochastic processes; System identification; System testing;
Conference_Titel :
Decision and Control, 1990., Proceedings of the 29th IEEE Conference on
Conference_Location :
Honolulu, HI
DOI :
10.1109/CDC.1990.203313
