Sur quelques aspects combinatoires du calcul des probabilités

 Access to full text

 Full (PDF)

1. [1] Ash Robert "Information theory" chapitre 2 Interscience Wiley (New-York) 1965 Zbl0768.94005MR229475
2. [2] Banach Stefan "On measures of independent fields" Studia Mathematica, vol. 10 (1948) pp. 159-181 Zbl0037.03703MR29422
3. [3] Dubins Lester E. "On a theorem of Skorohod" Annals of Mathematical Statistics, vol. 39 (1968) pp. 2094-2097 Zbl0185.45103MR234520
4. [4] Van Kampen "Infinite products measures and infinite convolutions " American Journal of Mathematics, vol. 62 (1940) pp. 417-448 Zbl0027.07301MR1282JFM66.0220.02
5. [5] Kolmogorov A. "Sur les propriétés des fonctions de concentration de M. Paul Lévy" Annales de l'Institut Henri Poincaré, XVI, vol. 1, pp. 27-34 (1958) Zbl0105.11804MR101545
6. [6] Letac Gérard "Problèmes de probabilité". Problème n° 19 - P.U.F. (1970) Zbl0206.19604
7. [7] Lubell David "A short proof of Sperner lemma" Journal of combinatorial theory, vol. 1 (1966) pp. 299 Zbl0151.01503MR194348
8. [8] Meyer Paul-André "Séminaire de probabilités IV de l'Université de Strasbourg" (pp.134) Lectures Notes in Mathematics n° 124 - SPRINGER VERLAG, Berlin (1970) Zbl0192.53201
9. [9] Renyi Alfred "Calcul des Probabilités" page 71, DUNOD (Paris) 1966 Zbl0141.14702MR202161
10. [10] Renyi Alfred "Foundations of probability" page 167Holden Day, San Francisco (1970) Zbl0203.49801MR264723
11. [11] Rohrlin V.A. "On the fundamental ideas of measure theory" In "Translations, série 1, vol. 10, Functional analysis and measure theory" A.M.S. Rhode Island (1962) 
12. [12] Skorokhod A.V. "Studies in the theory of random processes" page 163Addison-Wesley (Reading) (1965) Zbl0146.37701MR185620
13. [1] Bernard Jacques et Letac Gérard "Construction d'évènements équiprobables et coefficients multinomiaux module pn" A paraître à l'Illinois Journal of Mathematics Zbl0294.60011
14. [2] Carlitz Léonard "Sequences and Inversions" Duke Mathematical Journal, vol. 37 n° 1 (1970) pp. 193-198 Zbl0206.02302MR252237
15. [3] Comtet Louis "Analyse combinatoire" Tome 2, page 108 - P.U.F. (1970) Zbl0221.05002
16. [4] FRAY Robert D. "Congruences properties of ordinary and q - binomial coefficients" Duke Mathematical Journal, vol. 34 (1967) Zbl0155.08303MR213287
17. [5] HERING"Eine Beziehung zwishen Binomialkoeffizienten und Primzahlpotenzen"Archiv für Mathematik, vol. 19 (1968) pp. 411-412 Zbl0162.05804MR232687
18. [6] Hermite Charles cité par L.E. Dickson in "History of the theory of numbers" vol. 1, chapitre 6 G.E. STECHERT (New-York) (1934) 
19. [7] Letac Gérard "Sur certains polynômes à coefficients positifs " Comptes rendus de l'Académie des Sciences, vol. 269 (3.12.69) pp. 1066-1068 Zbl0186.30201MR258646
20. [8] Mac Mahon P.A. "The indices of permutations and the derivation there from of functions of a single variable associated with the Permutations of any Assemblage of Objects" American Journal of Mathematics, vol. 48, tome 4 (1913) pp. 282-321 JFM44.0076.02
21. [9] Meynieux Robert "Sur le plus petit commun multiple des coefficients du polynôme (1+z)n et celui de certains de ces coefficients" Comptes rendus de l'Académie des Sciences, vol. 271 (2.10-1970) pp. 861-864 Zbl0207.02402MR271009
22. [10] Polya Georges "On the number of certain lattice polygons" Journal of Combinatorial Theory, vol. 6 (1969) pp. 102-105. Zbl0327.05010MR236031
23. [11] Sylvester J.J. "A constructive theory of partitions, arranged in three acts, an interact and an exodion" American Journal of Mathematics, vol. 5 (1882) pp. 251-330 Zbl15.0129.02MR1505328JFM15.0129.02
24. [1] Austin T.L. "The enumeration of point labelled chromatic graphs and trees" Canadian Journal of Mathematics, vol. 12 (1960), pp. 535-545 Zbl0096.17802MR139544
25. [2] Barra Jean-RenéNotions fondamentales de Statistique Mathématique. Dunod (1971) Zbl0257.62004MR402992
26. [3] Bass Jean "Sur la compatibilité des fonctions de répartition" Comptes rendus de l'Académie des Sciences, vol. 240 (1965) pp. 839-843 Zbl0064.12804MR68149
27. [4] Berge Claude "Théorie des graphes et applications". Dunod (1958) Zbl0088.15404MR102822
28. [5] Billingsley Patrick "Ergodic Theory and Information". Wiley (New-York) (1965) Zbl0141.16702MR192027
29. [6] Buck, R. Creighton "Linear Spaces and approximation theory" in "On numerical Approximation", R.E. LANGER Editeur, publié par les University of Wisconsin Press (1958) pp. 11-23 Zbl0083.28801MR101611
30. [7] Cartier, Pierre 
31. [8] Choquet, Gustave "Le problème des Moments". Séminaire d'Initiation à l'Analyse, 1ère année. Secrétariat Mathématique de l'I.H.P. (Paris) 1962 
32. [9] Diliberto, S.P. et Straus, E.G. "On the approximation of a function of several variables by the sum of functions of fewer variables". Pacific Journal of Mathematics, Vol. 1 (1951) pp. 195-210 Zbl0043.06801MR43882
33. [10] Djokovic D.Z. "Extreme points of certain convex polytopes ". Monatshefte für Mathematik, Band 69, Heft 5 (1965), pp. 385-388 Zbl0151.28901MR193100
34. [11] Douglas, R.G. "On extremal measures and subspace density ". Michigan Mathematical Journal, 11 (1964), pp. 243-46 Zbl0121.33102MR185427
35. [12] Feller William "An introduction to probability theory and its applications" Vol. 1, 3rd edition, Wiley (New-York) (1968) Zbl0077.12201MR228020
36. [13] FISHBURN Peter J.; "Additive representations of Real functions on product sets" Journal of combinatorial theory. Vol. 4, n° 4 (1968) pp. 397-402 Zbl0159.30203MR218251
37. [14] Foata, D. et Schutzenberger, M. "Théorie géométrique des polynômes eulériens " Lecture notes, vol. 138. Springer Verlag (Berlin), 1970 Zbl0214.26202MR272642
38. [15] Frechet Maurice "Sur les tableaux de corrélation dont les marges et les bornes sont données". Annales de l'Université de Lyon, 3ème série, Sciences, section A, 1958, pp. 19-32 Zbl0095.13603MR110128
39. [16] Hennequin P.L. et Tortrat A. "Théorie des probabilités et quelques applications " Masson (Paris), 1965 Zbl0128.37403MR178481
40. [17] Letac Gérard "Problèmes de Probabilité", problème n° 70Presses Universitaires de France, Paris (1970) Zbl0206.19604
41. [18] Letac Gérard "Représentation des mesures de probabilité de deux espaces dénombrables, de marges données" Illinois Journal of Mathematics, vol. 10, n° 3, Sept. 1966, pp. 497-507 Zbl0141.14801MR200957
42. [19] Lindenstrauss Joram "A remark on extreme doubly stochastic measures" American Mathematical Monthly72, 4 (1965) pp. 379-382 Zbl0152.24404MR181728
43. [20] M R., Mycielski J. and Thompson D. "On Boolean functions and connected sets". Mathematical systems theory, vol. 5, n° 3 (1971), pp. 259-270 Zbl0221.02047MR423902
44. [21] Meyer Paul-André "Probabilité et Potentiel". HERMANN (Paris) 1966 Zbl0138.10402MR205287
45. [22] Pham Dinh Tuan "Contributions à l'Analyse de la variance et aux plans d'expérience". Thèse de spécialité. Grenoble1970. 
46. [23] Phelps, Robert B. "Lectures on Choquet's theorem". VAN NOSTRAND (New-York) 1966 Zbl0135.36203MR193470
47. [24] Rado R. "On a combinatorial theorem on vector spaces" Journal of London Mathematical society (1962) Zbl0106.01203MR146186
48. [25] Ryser Herbert-John "Combinatorial Mathematics". Carus mathematical monographs, Wiley (New-York) 1965 Zbl0302.05001MR150048
49. [26] Scoins " The number of trees with modes of alternate parity" Proceedings of Cambridge Philosophical Society58 (1962) pp. 12-18 Zbl0122.41901MR136554
50. [27] Strassen Victor "The existence of probability measures with given marginals" Annals of Mathematical Statistics. Vol. 36 (1965), pp. 423-439 Zbl0135.18701MR177430
51. [28] Tits Jacques "Sur le groupe des automorphismes d'un arbre" In "Mémoires dédiés à Georges de Rham" pp. 188-211, Springer Verlag, Berlin1970 Zbl0214.51301MR299534
52. [29] Varopoulos Nicolas "Tensor algebras and Harmonic analysis ". Acta Mathematica119 (1967), pp. 51-112 Zbl0163.37002MR240564
53. [30] Vorobev, N.N. "Consistent families of measures and their extensions" Theory of Probability and its applications. Vol. 7, n° 2 (1962) pp. 147-163. Zbl0201.49102