Random variables, joint distribution functions, and copulas

Abe Sklar

Kybernetika (1973)

  • Volume: 09, Issue: 6, page (449)-460
  • ISSN: 0023-5954

How to cite

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Sklar, Abe. "Random variables, joint distribution functions, and copulas." Kybernetika 09.6 (1973): (449)-460. <http://eudml.org/doc/28992>.

@article{Sklar1973,
author = {Sklar, Abe},
journal = {Kybernetika},
language = {eng},
number = {6},
pages = {(449)-460},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Random variables, joint distribution functions, and copulas},
url = {http://eudml.org/doc/28992},
volume = {09},
year = {1973},
}

TY - JOUR
AU - Sklar, Abe
TI - Random variables, joint distribution functions, and copulas
JO - Kybernetika
PY - 1973
PB - Institute of Information Theory and Automation AS CR
VL - 09
IS - 6
SP - (449)
EP - 460
LA - eng
UR - http://eudml.org/doc/28992
ER -

References

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  1. J. B. Brown, Random metrics for statistical metric spaces, Z. Wahrsch. 24 (1972), 49-62. (1972) 
  2. P. Calabrese, A random variable approach to probabilistic metric spaces, To appear. 
  3. G. Dall'Aglio, Sulla compatibilità delle funzioni di ripartizione doppia, Rendiconti Mat. 18 (1959), 385-413. (1959) MR0119220
  4. W. Feller, An introduction to probability theory and its applications, Wiley, New York 1966. (1966) Zbl0138.10207MR0210154
  5. R. Féron, Sur les tableaux de corrélation dont les marges sont données, Publ. Inst. Statistique Univ. Paris 5 (1956), 1-12. (1956) MR0082246
  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. (1972) 
  7. M. Fréchet, Sur les tableaux de corrélation dont les marges sont données, Ann. Univ. Lyon 9 (1951), Sec. A, 53-77. (1951) MR0049518
  8. B. V. Gnedenko A. N. Kolmogorov, Limit distributions for sums of independent random variables, Addison-Wesley, Reading 1954. (1954) MR0062975
  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. (1969) MR0411832
  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. (1969) MR0253805
  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. (1967) 
  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. (1969) MR0252110
  13. C. H. Kimberling, A probabilistic interpretation of complete monotonicity, To appear. Zbl0309.60012MR0353416
  14. A. N. Kolmogorov, Foundations of the theory of probability, Second English edition. Chelsea, New York 1956. (1956) Zbl0074.12202MR0079843
  15. C.-H. Ling, Representation of associative functions, Publicat. Math. Debrecen 12 (1965), 189-212. (1965) MR0190575
  16. Y. V. Linnik, Decompositions des lois de probabilités, Gauthier-Villars, Paris 1962. (1962) Zbl0103.11901MR0181000
  17. K. Menger, Statistical metrics, Proc. Nat. Acad. Sci. U.S.A. 28 (1942), 535-537. (1942) Zbl0063.03886MR0007576
  18. A. Nataf, Determination des distributions de probabilités dont les marges sont données, C. R. Acad. Sci. Paris 255 (1962), 42-43. (1962) Zbl0109.11904MR0139187
  19. B. Schweizer, Probabilistic metric spaces - the first 25 years, New York Statistician 19 (1967), 2, 3-6. (1967) 
  20. B. Schweizer A. Sklar, Associative functions and statistical triangle inequalities, Publicat. Math. Debrecen 8 (1961), 169-186. (1961) MR0132939
  21. B. Schweizer A. Sklar, A grammar of functions, Aequat. Math. 2 (1968), 62-85; ibid. 3 (1969), 15-43. (1968) 
  22. B. Schweizer A. Sklar, Mesures aléatoires de l'information, C. R. Acad. Sci. Paris 269 (1969), Sér. A, 721-723. (1969) MR0253804
  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. (1971) MR0286565
  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. (1963) MR0154320
  25. A. N. Šerstnev, On probabilistic generalizations of metric spaces, Učen. Zap. Kazan. Gos. Univ. 124 (1964), 2, 3-11. (1964) MR0220326
  26. A. Sklar, Fonctions de répartition à n dimensions et leurs marges, Publ. Inst. Statistique Univ. Paris 8 (1959), 229-231. (1959) MR0125600
  27. A. Špaček, Note on K. Menger's probabilistic geometry, Czechoslovak Math. J. 6 (1956), 72-74. (1956) Zbl0075.13601MR0080946
  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. (1959) MR0136468
  29. E. Thorp, Best-possible triangle inequalities for statistical metric spaces, Proc. Amer. Math. Soc. 11 (1960), 734-740. (1960) Zbl0125.37002MR0119302
  30. D. V. Widder, The Laplace transform, Princeton Univ. Press, Princeton 1941. (1941) Zbl0063.08245

Citations in EuDML Documents

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  1. Fabrizio Durante, Radko Mesiar, Carlo Sempi, Editorial to the special issue on “Random Variables, Joint Distribution Functions, and Copulas”
  2. Salim Bouzebda, Amor Keziou, New estimates and tests of independence in semiparametric copula models
  3. Younès Hillali, Test d'ajustement d'une loi bidimensionnelle : application à des données climatologiques
  4. Manuel Úbeda-Flores, Extreme distribution functions of copulas
  5. Erich Peter Klement, Radko Mesiar, How non-symmetric can a copula be?
  6. Jiří Michálek, Statistical linear spaces. I. Properties of ε , η -topology
  7. Radko Mesiar, Erich Peter Klement, Open problems posed at the eighth international conference on fuzzy set theory and applications
  8. Erich Peter Klement, Anna Kolesárová, Extension to copulas and quasi-copulas as special 1 -Lipschitz aggregation operators
  9. Manuel Úbeda-Flores, A new family of trivariate proper quasi-copulas
  10. Fabrizio Durante, Carlo Sempi, Semicopulæ

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