On the Urysohn condition and the convergence of probability distributions

Andrzej Kamiński

Czechoslovak Mathematical Journal (1988)

  • Volume: 38, Issue: 1, page 173-180
  • ISSN: 0011-4642

How to cite

top

Kamiński, Andrzej. "On the Urysohn condition and the convergence of probability distributions." Czechoslovak Mathematical Journal 38.1 (1988): 173-180. <http://eudml.org/doc/13690>.

@article{Kamiński1988,
author = {Kamiński, Andrzej},
journal = {Czechoslovak Mathematical Journal},
keywords = {Urysohn condition; doubly stochastic measures; weak convergence; Lévy’s metric},
language = {eng},
number = {1},
pages = {173-180},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the Urysohn condition and the convergence of probability distributions},
url = {http://eudml.org/doc/13690},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Kamiński, Andrzej
TI - On the Urysohn condition and the convergence of probability distributions
JO - Czechoslovak Mathematical Journal
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 1
SP - 173
EP - 180
LA - eng
KW - Urysohn condition; doubly stochastic measures; weak convergence; Lévy’s metric
UR - http://eudml.org/doc/13690
ER -

References

top
  1. P. Antosîk, 10.4064/cm-21-2-205-209, Colloq. Math. 21 (1970), 205-209. (1970) MR0276915DOI10.4064/cm-21-2-205-209
  2. P. Billingsley, Convergence of Probability Measures, Wiley, New York 1968. (1968) Zbl0172.21201MR0233396
  3. B. V. Gnedenko A. N. Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley, Cambridge 1954. (1954) MR0062975
  4. A. Kamiński, On characterization of topological convergence, Proc. Conf. on Convergence in Szczyrk 1979, Katowice 1980, 50-70. (1979) MR0639315
  5. A. Kamiński, 10.4064/sm-79-2-151-191, Studia Math. 74 (1984), 151-191. (1984) MR0783048DOI10.4064/sm-79-2-151-191
  6. L. V. Kantorovitch B. Z. Vulih A. G. Pinsker, Functional Analysis in Semiordered Spaces, Moskva-Leningrad 1950 [in Russian]. (1950) 
  7. J. Kisyński, 10.4064/cm-7-2-205-211, Colloq. Math. 7 (1960) 205-211. (1960) MR0123287DOI10.4064/cm-7-2-205-211
  8. J. Mikusiński, A lemma on convergence, Bull. Acad. Polon. Sci., Sér. Sci. Math. Astr. Phys. 22 (1974), 903-907. (1974) MR0397403
  9. J. E. L. Peck, 10.1307/mmj/1028998226, Michigan Math. J. 6 (1959), 217-220. (1959) Zbl0090.26801MR0106979DOI10.1307/mmj/1028998226
  10. A. Rényi, Probability Theory, Akademiai Kiadó, Budapest 1970. (1970) MR0315747
  11. B. Schweizer A. Sklar, Probabilistic Metric Spaces, Elsevier-North Holland, New York 1983. (1983) MR0790314
  12. С. Sempi, On the space of distribution functions, Riv. Math. Univ. Parma 48 (1982), 243-250. (1982) Zbl0516.60016MR0706849
  13. С. Sempi, A metric for weak convergence of multiple distribution functions, Note Math. 4 (1984), 79-85. (1984) Zbl0574.60005MR0805501
  14. D. A. Sibley, 10.1216/RMJ-1971-1-3-427, Rocky Mountain J. Math. 1 (1971), 427-430. (1971) Zbl0245.60007MR0314089DOI10.1216/RMJ-1971-1-3-427
  15. M. D. Taylor, New metrics for weak convergence of distributions functions, Preprint, 1984. (1984) MR0823225

NotesEmbed ?

top

You must be logged in to post comments.