Regular variation of the fine structure of statistical distributions as a consequence of cosmophysical agents

Considered is the statistical ground of the certainty of cosmophysical effects on the fine structure of distributions governing the results of measurements in various physical processes. We show that the previously discussed effects of synchronous variations of histogram shapes in independent processes, and the periodical occurrence of histograms of a particular shape, do not depend on the form of the integral distribution. The adequacy of visual (expert) estimation when comparing the shapes of histograms as an alternative to the standard statistical methods is justified.