Information Entropy and Error Entropy of Measurement Data

The paper introduces the model of the measured quantity, error and measuring data on the base of Shannon information theory after analysing the physical mean of the measurement and the relationship between the measured quantity and the measuring results. The measuring uncertainty, the measured quantity and the measuring results are presented by the model of the information entropy. The measuring information entropy and the error entropy are defined and their relationship is gived. And the mathematic relation of the information entropy and uncertainty of same special distributions is deduced.