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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 97, Number 3, Pages 348–363
(Mi tmf1744)
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This article is cited in 20 scientific papers (total in 20 papers)
$p$-Adic probability theory and its applications. The principle of statistical stabilization of frequencies
A. Yu. Khrennikov Moscow State Institute of Electronic Technology (Technical University)
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.
Received: 23.11.1992
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
Linking options:
https://www.mathnet.ru/eng/tmf1744 https://www.mathnet.ru/eng/tmf/v97/i3/p348
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