| Title:
|
Random variables, joint distribution functions, and copulas (English) |
| Author:
|
Sklar, Abe |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 |
| Volume:
|
9 |
| Issue:
|
6 |
| Year:
|
1973 |
| Pages:
|
(449)-460 |
| . |
| Category:
|
math |
| . |
| MSC:
|
60E05 |
| idZBL:
|
Zbl 0292.60036 |
| idMR:
|
MR0345164 |
| . |
| Date available:
|
2009-09-24T16:36:02Z |
| Last updated:
|
2012-06-04 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125838 |
| . |
| Reference:
|
[1] J. B. Brown: Random metrics for statistical metric spaces.Z. Wahrsch. 24 (1972), 49-62. |
| Reference:
|
[2] P. Calabrese: A random variable approach to probabilistic metric spaces.To appear. |
| Reference:
|
[3] G. Dall'Aglio: Sulla compatibilità delle funzioni di ripartizione doppia.Rendiconti Mat. 18 (1959), 385-413. MR 0119220 |
| Reference:
|
[4] W. Feller: An introduction to probability theory and its applications.Wiley, New York 1966. Zbl 0138.10207, MR 0210154 |
| Reference:
|
[5] R. Féron: Sur les tableaux de corrélation dont les marges sont données.Publ. Inst. Statistique Univ. Paris 5 (1956), 1-12. MR 0082246 |
| Reference:
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[6] M. J. Frank: Associativity of operators on spaces of distribution functions.Notices Amer. Math. Soc. 19 (1972), 1 A-143, Abstract 691-39-5. To appear in Aequat. Math. |
| Reference:
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[7] M. Fréchet: Sur les tableaux de corrélation dont les marges sont données.Ann. Univ. Lyon 9 (1951), Sec. A, 53-77. MR 0049518 |
| Reference:
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[8] B. V. Gnedenko A. N. Kolmogorov: Limit distributions for sums of independent random variables.Addison-Wesley, Reading 1954. MR 0062975 |
| Reference:
|
[9] J. Kampé de Fériet: Mesure de l'information fournie par un événement.In: Colloques Internat. C.N.R.S. No. 186, Clermont-Ferrand 1969. C.N.R.S., Paris 1970, 191-221. MR 0411832 |
| Reference:
|
[10] J. Kampé de Fériet: Mesures de l'information par un ensemble d'observateurs.C. R. Acad. Sci. Paris 269 (1969), Ser. A, 1081-1085; ibid. 271 (1971), Sér. A, 1017-1021. MR 0253805 |
| Reference:
|
[11] J. Kampé de Fériet B. Forte: Information et probability.C. R. Acad. Sci. Paris 265 (1967), Sér. A, 110-114, 142-146, 350-353. |
| Reference:
|
[12] J. Kampé de Fériet B. Forte P. Benvenuti: Forme générate de l'opération de composition continue d'une information.C. R. Acad. Sci. Paris 269 (1969), Sér. A, 529-534. MR 0252110 |
| Reference:
|
[13] C. H. Kimberling: A probabilistic interpretation of complete monotonicity.To appear. Zbl 0309.60012, MR 0353416 |
| Reference:
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[14] A. N. Kolmogorov: Foundations of the theory of probability.Second English edition. Chelsea, New York 1956. Zbl 0074.12202, MR 0079843 |
| Reference:
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[15] C.-H. Ling: Representation of associative functions.Publicat. Math. Debrecen 12 (1965), 189-212. MR 0190575 |
| Reference:
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[16] Y. V. Linnik: Decompositions des lois de probabilités.Gauthier-Villars, Paris 1962. Zbl 0103.11901, MR 0181000 |
| Reference:
|
[17] K. Menger: Statistical metrics.Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 535-537. Zbl 0063.03886, MR 0007576 |
| Reference:
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[18] A. Nataf: Determination des distributions de probabilités dont les marges sont données.C. R. Acad. Sci. Paris 255 (1962), 42-43. Zbl 0109.11904, MR 0139187 |
| Reference:
|
[19] B. Schweizer: Probabilistic metric spaces - the first 25 years.New York Statistician 19 (1967), 2, 3-6. |
| Reference:
|
[20] B. Schweizer A. Sklar: Associative functions and statistical triangle inequalities.Publicat. Math. Debrecen 8 (1961), 169-186. MR 0132939 |
| Reference:
|
[21] B. Schweizer A. Sklar: A grammar of functions.Aequat. Math. 2 (1968), 62-85; ibid. 3 (1969), 15-43. |
| Reference:
|
[22] B. Schweizer A. Sklar: Mesures aléatoires de l'information.C. R. Acad. Sci. Paris 269 (1969), Sér. A, 721-723. MR 0253804 |
| Reference:
|
[23] B. Schweizer A. Sklar: Mesure aléatoire de l'information et mesure de l'information par un ensemble d'observateurs.C. R. Acad. Sci. Paris 272 (1971), Sér. A, 149-152. MR 0286565 |
| Reference:
|
[24] A. N. Šerstnev: On the notion of a random normed space.Doklady Akad. Nauk S.S.S.R. 149 (1963), 280-283; translated in: Soviet Math. Doklady 4 (1963), 388-391. MR 0154320 |
| Reference:
|
[25] A. N. Šerstnev: On probabilistic generalizations of metric spaces.Učen. Zap. Kazan. Gos. Univ. 124 (1964), 2, 3-11. MR 0220326 |
| Reference:
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[26] A. Sklar: Fonctions de répartition à n dimensions et leurs marges.Publ. Inst. Statistique Univ. Paris 8 (1959), 229-231. MR 0125600 |
| Reference:
|
[27] A. Špaček: Note on K. Menger's probabilistic geometry.Czechoslovak Math. J. 6 (1956), 72-74. Zbl 0075.13601, MR 0080946 |
| Reference:
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[28] A. Špaček: Random metric spaces.In: Transactions of the Second Prague Conference, Prague 1959. NČSAV, Praha and Academic Press, New York 1960, 627-628. MR 0136468 |
| Reference:
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[29] E. Thorp: Best-possible triangle inequalities for statistical metric spaces.Proc. Amer. Math. Soc. 11 (1960), 734-740. Zbl 0125.37002, MR 0119302 |
| Reference:
|
[30] D. V. Widder: The Laplace transform.Princeton Univ. Press, Princeton 1941. Zbl 0063.08245 |
| . |
