On the Extension of the von Mises Frequency Approach and Kolmogorov Axiomatic Approach to the <i>p</i>-Adic Probability Theory

Abstract

The paper considers probabilistic models in which relative frequencies are stabilized in p-adic metric. The analog of frequency theory of von Mises probabilities is constructed for such models. As in usual probability theory, the properties of p-adic frequency probability are used to formulate the theory on an axiomatic level (the analog of the Kolmogorov axiomatic).

Identifiers

DOI

10.1137/1140040

Citations and references