Abstract:
The development of p-adic quantum mechanics has made it necessary to construct a probability theory in which the probabilities of events are p-adic numbers. The foundations of this theory are developed here. The frequency definition of probability is used. A general principle of statistical stabilization of relative frequencies is formulated. By virtue of this principle, statistical stabilization of relative frequencies, which are, like all experimental data, rational numbers, can be considered not only in the real topology but also inp-adic topologies.
Citation:
A. Yu. Khrennikov, “p-Adic probability theory and its applications. The principle of statistical stabilization of frequencies”, TMF, 97:3 (1993), 348–363; Theoret. and Math. Phys., 97:3 (1993), 1340–1348
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\by A.~Yu.~Khrennikov
\paper $p$-Adic probability theory and its applications. The principle of statistical stabilization of frequencies
\jour TMF
\yr 1993
\vol 97
\issue 3
\pages 348--363
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\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 97
\issue 3
\pages 1340--1348
\crossref{https://doi.org/10.1007/BF01015763}
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Linking options:
https://www.mathnet.ru/eng/tmf1744
https://www.mathnet.ru/eng/tmf/v97/i3/p348
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