| Gaia: | Background. The use of the entropy-parametric criterion as a decisive rule implies
the occurrence of errors of the second kind, capable of causing substantial material
damage in technical, medical, information-measuring and control systems. To prevent errors
of the second kind, it is necessary to a priori assess the ability of the entropyparametric
criterion to detect minor effects and changes in the state of an object. The purpose
of the work is to estimate the power of the entropy – parametric criterion, which takes
into account the informational and probabilistic properties of the samples of measurement
results. Materials and methods. The theoretical and methodological basis of the research is
an analysis of the entropy-parametric criterion in space centered relative to the competing
hypothesis of the estimates of the entropy coefficient and the counter-process, given to their
standard deviations. Results. As a result of the geometric interpretation of the mutual arrangement
of hypotheses, mathematical expressions are obtained for calculating the probability
of an error of the second kind and the power of the entropy – parametric criterion depending
on the position of the null hypothesis in the centered space of the competing hypothesis.
Conclusions. It is shown that in the anisotropic spaces of the above estimates of the entropy
coefficient and the counter-process centered on the alternative hypothesis, the power of the
entropy criterion depends on the direction of the position of the null hypothesis. Recommendations
are given on the choice of the probability of making a second kind of error, limiting
the area in which the null hypothesis is considered invalid with a probability of 80 %.
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