Random variables, joint distribution functions, and copulas

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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

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