| Title:
|
On the Urysohn condition and the convergence of probability distributions (English) |
| Author:
|
Kamiński, Andrzej |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
38 |
| Issue:
|
1 |
| Year:
|
1988 |
| Pages:
|
173-180 |
| . |
| Category:
|
math |
| . |
| MSC:
|
60B10 |
| idZBL:
|
Zbl 0648.60014 |
| idMR:
|
MR925949 |
| DOI:
|
10.21136/CMJ.1988.102209 |
| . |
| Date available:
|
2008-06-09T15:20:00Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/102209 |
| . |
| Reference:
|
[1] P. Antosîk: On a topology of convergence.Colloq. Math. 21 (1970), 205-209. MR 0276915, 10.4064/cm-21-2-205-209 |
| Reference:
|
[2] P. Billingsley: Convergence of Probability Measures.Wiley, New York 1968. Zbl 0172.21201, MR 0233396 |
| Reference:
|
[3] B. V. Gnedenko A. N. Kolmogorov: Limit distributions for sums of independent random variables.Addison-Wesley, Cambridge 1954. MR 0062975 |
| Reference:
|
[4] A. Kamiński: On characterization of topological convergence.Proc. Conf. on Convergence in Szczyrk 1979, Katowice 1980, 50-70. MR 0639315 |
| Reference:
|
[5] A. Kamiński: On the Rényi theory of conditional probabilities.Studia Math. 74 (1984), 151-191. MR 0783048, 10.4064/sm-79-2-151-191 |
| Reference:
|
[6] L. V. Kantorovitch B. Z. Vulih A. G. Pinsker: Functional Analysis in Semiordered Spaces.Moskva-Leningrad 1950 [in Russian]. |
| Reference:
|
[7] J. Kisyński: Convergence du type L.Colloq. Math. 7 (1960) 205-211. MR 0123287, 10.4064/cm-7-2-205-211 |
| Reference:
|
[8] J. Mikusiński: A lemma on convergence.Bull. Acad. Polon. Sci., Sér. Sci. Math. Astr. Phys. 22 (1974), 903-907. MR 0397403 |
| Reference:
|
[9] J. E. L. Peck: Doubly stochastic measures.Michigan Math. J. 6 (1959), 217-220. Zbl 0090.26801, MR 0106979, 10.1307/mmj/1028998226 |
| Reference:
|
[10] A. Rényi: Probability Theory.Akademiai Kiadó, Budapest 1970. MR 0315747 |
| Reference:
|
[11] B. Schweizer A. Sklar: Probabilistic Metric Spaces.Elsevier-North Holland, New York 1983. MR 0790314 |
| Reference:
|
[12] С. Sempi: On the space of distribution functions.Riv. Math. Univ. Parma 48 (1982), 243-250. Zbl 0516.60016, MR 0706849 |
| Reference:
|
[13] С. Sempi: A metric for weak convergence of multiple distribution functions.Note Math. 4 (1984), 79-85. Zbl 0574.60005, MR 0805501 |
| Reference:
|
[14] D. A. Sibley: A metric for weak convergence of distribution functions.Rocky Mountain J. Math. 1 (1971), 427-430. Zbl 0245.60007, MR 0314089, 10.1216/RMJ-1971-1-3-427 |
| Reference:
|
[15] M. D. Taylor: New metrics for weak convergence of distributions functions.Preprint, 1984. MR 0823225 |
| . |
