Estimation of experimental data redundancy and related statistics
Grabec, Igor (Author)

URLURL - Presentation file, Visit http://arxiv.org/abs/0704.0162 This link opens in a new window

Redundancy of experimental data is the basic statistic from which the complexity of a natural phenomenon and the proper number of experiments needed for its exploration can be estimated. The redundancy is expressed by the entropy of information pertaining to the probability density function of experimental variables. Since the calculation of entropy is inconvenient due to integration over a range of variables, an approximate expression for redundancy is derived that includes only a sum over the set of experimental data about these variables. The approximation makes feasible an efficient estimation of the redundancy of data along with the related experimental information and information cost function. From the experimental information the complexity of the phenomenon can be simply estimated, while the proper number of experiments needed for its exploration can be determined from the minimum of the cost function. The performance of the approximate estimation ofthese statistics is demonstrated on two-dimensional normally distributed random data.

Keywords:fizika, fizikalni zakoni, statistično modeliranje, redundanca, experimental data, redundancy, statistics
Work type:Not categorized (r6)
Organization:FS - Faculty of Mechanical Engineering
Number of pages:7 f.
COBISS.SI-ID:10031131 Link is opened in a new window
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