On probabilistic metrics and numerical metrics with probability. I

Karl Menger; Berthold Schweizer; Abe Sklar

Czechoslovak Mathematical Journal (1959)

  • Volume: 09, Issue: 3, page 459-466
  • ISSN: 0011-4642

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Menger, Karl, Schweizer, Berthold, and Sklar, Abe. "On probabilistic metrics and numerical metrics with probability. I." Czechoslovak Mathematical Journal 09.3 (1959): 459-466. <http://eudml.org/doc/11994>.

@article{Menger1959,
author = {Menger, Karl, Schweizer, Berthold, Sklar, Abe},
journal = {Czechoslovak Mathematical Journal},
keywords = {probability theory},
language = {eng},
number = {3},
pages = {459-466},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On probabilistic metrics and numerical metrics with probability. I},
url = {http://eudml.org/doc/11994},
volume = {09},
year = {1959},
}

TY - JOUR
AU - Menger, Karl
AU - Schweizer, Berthold
AU - Sklar, Abe
TI - On probabilistic metrics and numerical metrics with probability. I
JO - Czechoslovak Mathematical Journal
PY - 1959
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 09
IS - 3
SP - 459
EP - 466
LA - eng
KW - probability theory
UR - http://eudml.org/doc/11994
ER -

References

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  1. K. Menger, 10.1073/pnas.28.12.535, Proc. Nat. Acad. Sci. USA, vol. 28 (1942), pp. 535-537. (1942) Zbl0063.03886MR0007576DOI10.1073/pnas.28.12.535
  2. K. Menger, Probabilistic Geometry, ibid., vol. 37 (1951), pp. 226-229. (1951) Zbl0042.37201MR0042081
  3. K. Menger, Géométrie Générale, Memorial des Sci. Math., vol. 124, Paris 1954. (1954) Zbl0055.16001MR0058229
  4. В. Schweizer, A. Sklar, Statistical Metric Spaces, (forthcoming). Zbl0136.39301
  5. B. Schweizer, A. Sklar, Espaces Métriques Aléatoires, Comptes Rendus Acad. Sci. Paris, vol. 247 (1958), pp. 2092-2094. (1958) Zbl0085.12503MR0099068
  6. A. Špaček, Note on K. Menger's Probabilistic Geometry, Czechoslovak Mathem. Journal, vol. 6 (1956), pp. 72-73. (1956) Zbl0075.13601
  7. A. Wald, 10.1073/pnas.29.6.196, Proc. Nat. Acad. Sci. USA, vol. 29 (1943), pp. 196-197. (1943) Zbl0063.08119MR0007950DOI10.1073/pnas.29.6.196
  8. A. Wald, On a Statistical Generalization of Metric Spaces, Reports of a Math. Colloquium, 2nd. ser., vol. 5 - 6, pp. 76 - 79. Zbl0063.08125MR0010935

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