Statistical linear spaces. I. Properties of ε , η -topology

Jiří Michálek

Kybernetika (1984)

  • Volume: 20, Issue: 1, page 58-72
  • ISSN: 0023-5954

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Michálek, Jiří. "Statistical linear spaces. I. Properties of $\varepsilon $, $\eta $-topology." Kybernetika 20.1 (1984): 58-72. <http://eudml.org/doc/28833>.

@article{Michálek1984,
author = {Michálek, Jiří},
journal = {Kybernetika},
keywords = {statistical metric spaces in the Menger sense (SMM-space); Menger space; statistical linear space in the Menger sense (SLM-space); Lévy’s metric; locally convex; normable},
language = {eng},
number = {1},
pages = {58-72},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Statistical linear spaces. I. Properties of $\varepsilon $, $\eta $-topology},
url = {http://eudml.org/doc/28833},
volume = {20},
year = {1984},
}

TY - JOUR
AU - Michálek, Jiří
TI - Statistical linear spaces. I. Properties of $\varepsilon $, $\eta $-topology
JO - Kybernetika
PY - 1984
PB - Institute of Information Theory and Automation AS CR
VL - 20
IS - 1
SP - 58
EP - 72
LA - eng
KW - statistical metric spaces in the Menger sense (SMM-space); Menger space; statistical linear space in the Menger sense (SLM-space); Lévy’s metric; locally convex; normable
UR - http://eudml.org/doc/28833
ER -

References

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  1. B. Schweizer, A. Sklar, Statistical metric spaces, Pacific J. Math. 10 (1960 I), 313-335. (1960) Zbl0096.33203MR0115153
  2. B. Schweizer A. Sklar, E. Thorp, The metrization of statistical metric spaces, Pacific J. Math. 10 (1960 I), 673-677. (1960) MR0115154
  3. B. Schweizer, On the uniform continuity of the probabilistic distance, Z. Warsch. verw. Gebiete 5 (1966), 357-360. (1966) Zbl0139.36001MR0212843
  4. H. Sherwood, On the completion of probabilistic metric spaces, Z. Wahrsch. verw. Gebiete 6 (1966), 62-64. (1966) Zbl0231.60004MR0212844
  5. N. Nishura, Constructive method in probabilistic metric spaces, Fundamenta Mathematicae, Nr. 67 (1970), 115-124. (1970) MR0259978
  6. K. Menger, Statistical metric, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 535-537. (1942) MR0007576
  7. P. S. Marcus, Probabilistic metric spaces constructed from stationary Markov chains, Aequationes Math. 75(1977), 1-3, 169-171. (1977) Zbl0365.60053MR0461668
  8. R. Moynihan, Probabilistic metric spaces induced by Markov chains, Z. Wahrsch. verw. Gebiete 35 (1976), 2, 177-187. (1976) Zbl0314.60047MR0413218
  9. H. Sherwood, A note on PM-spaces determined by measure preserving transformation, Z. Wahrsch. verw. Gebiete 33 (1975/76), 4, 353-354. (1975) MR0405371
  10. S. Sklar, Random variables, joint distribution functions and copulas, Kybernetika 9 (1973), 6, 449-460. (1973) Zbl0292.60036MR0345164
  11. J. L. Kelley, I. Namioka, Linear Topological Spaces, Van Nostrand, New York 1963. (1963) Zbl0115.09902MR0166578

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