Geodesic
On the extension of the von mises frequency approach and Kolmogorov axiomatic approach to the $p$-adic probability theory
Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 2, pp. 458-464

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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).
Keywords: rational and $p$-adic numbers, frequencies, statistic stabilization, $p$-adic valued measures.
Mots-clés : collection 
@article{TVP_1995_40_2_a19,
     author = {A. Yu. Khrennikov},
     title = {On the extension of the von mises frequency approach and {Kolmogorov} axiomatic approach to the $p$-adic probability theory},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {458--464},
     publisher = {mathdoc},
     volume = {40},
     number = {2},
     year = {1995},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1995_40_2_a19/}
}
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A. Yu. Khrennikov. On the extension of the von mises frequency approach and Kolmogorov axiomatic approach to the $p$-adic probability theory. Teoriâ veroâtnostej i ee primeneniâ, Tome 40 (1995) no. 2, pp. 458-464. http://geodesic.mathdoc.fr/item/TVP_1995_40_2_a19/