In the parameter identification of inverse problems, it was well-known that the information quantity contained in measurement information influences the reconstruction precision of parameter directly. How to describe the information quantity in measurement information plays an important role in the selection of the number of measurement points. According to the Bayesian method, it calculated the probability of the parameter sample to be identified by combining the priori probability reflecting prior information and the likelihood probability reflecting measurement information. It calculated the evaluation factors by the maximum entropy and information entropy of the parameter. This paper introduced the information entropy to describe the information quantity of measurement information with error before parameter identification. Numerical tests show that this proposed method can describe the measured information with error effectively and determine the measured information in practice.

[2019-07-05] Printed Article /doc/2018.01.0037/v2