Mathematics and Statistics Vol. 5(3), pp. 99 - 116
DOI: 10.13189/ms.2017.050301
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The Stochastic Model for «Shnoll Effect»

V. A. Meshkoff ^*
Chaotic Modeling and Simulation International (CMSIM), Section Chaos in Astronomy and Astrophysics, Europe, Republic Crimea, Russian Federation

ABSTRACT

«Shnoll effect» proved to be at the histograms study of a wide variety of processes. This paper examines the effect mainly for the examples of radioactive decay and chemical reactions. S.E. Shnoll supposed that the observed processes are caused by unknown Cosmophysical effects. In this article, we suggested not only a qualitative explanation of the effect, but also its mathematical model. It allows to get some quantitative estimation and to optimize the process of observation and data handling. To this end, we developed a quantitative method of estimation «similarity of histograms» that allows the use of standard computer programs. As far as «Shnoll effect» at present is not currently recognized by the scientific community, we suppose that the use of mathematical model and adequate methods of data handling allow synonymously solving that problem.

KEYWORDS
Shnoll Effect, Radioactive Decay, Histogram, Fluctuation, Random Variables, White Noise, Deterministic Effects, The Poisson Distribution, The Binomial Distribution

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] V. A. Meshkoff , "The Stochastic Model for «Shnoll Effect»," Mathematics and Statistics, Vol. 5, No. 3, pp. 99 - 116, 2017. DOI: 10.13189/ms.2017.050301.

(b). APA Format:
V. A. Meshkoff (2017). The Stochastic Model for «Shnoll Effect». Mathematics and Statistics, 5(3), 99 - 116. DOI: 10.13189/ms.2017.050301.