Estimation of Parameters of Nonlinear Models Using the Grid Method Involving Apriori Information About Node Weights

An approach is proposed to reduce systematic error that arises in nonlinear problems of estimating parameters due to inaccurate selection of the boundaries of intervals for constructing a grid. It is shown that the choice of boundaries is hampered by the small number of available measurements and th...

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Bibliographic Details
Published in:Measurement techniques 2017-07, Vol.60 (4), p.355-358
Main Authors: Berkovich, S. B., Kotov, N. I., Sadekov, R. N., Minkin, Yu. I., Sholokhov, A. V.
Format: Article
Language:English
Subjects:
Analytical Chemistry
Characterization and Evaluation of Materials
Measurement Science and Instrumentation
Physical Chemistry
Physics
Physics and Astronomy
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Summary:An approach is proposed to reduce systematic error that arises in nonlinear problems of estimating parameters due to inaccurate selection of the boundaries of intervals for constructing a grid. It is shown that the choice of boundaries is hampered by the small number of available measurements and their low accuracy. An increase in the accuracy of the required parameter estimates is achieved by involving apriori information on the probabilities pertaining to the grid nodes at the edges of intervals, in order to correct the aposteriori probabilities obtained according to the grid method.
ISSN:0543-1972
1573-8906
DOI:10.1007/s11018-017-1201-8