@article{AIHPB_1992__28_3_365_0, author = {Dinwoodie, I. H.}, title = {Mesures dominantes et th\'eor\`eme de {Sanov}}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, pages = {365--373}, publisher = {Gauthier-Villars}, volume = {28}, number = {3}, year = {1992}, mrnumber = {1183991}, zbl = {0764.60031}, language = {fr}, url = {http://archive.numdam.org/item/AIHPB_1992__28_3_365_0/} }
Dinwoodie, I. H. Mesures dominantes et théorème de Sanov. Annales de l'I.H.P. Probabilités et statistiques, Tome 28 (1992) no. 3, pp. 365-373. http://archive.numdam.org/item/AIHPB_1992__28_3_365_0/
[1] Grandes déviations et applications, École d'Été de probabilités de Saint-Flour VIII-1978, LNM 774, Springer-Verlag, 1980, p.1-176. | MR | Zbl
,[2] On Deviations of the Sample Mean, Ann. Math. Stat., vol.31, 1960, p. 43-54. | MR | Zbl
et ,[3] Large Deviations of the Sample Mean in General Vector Spaces, Ann. Probab., vol. 7, 1979, p. 587-621. | MR | Zbl
et ,[4] Normal Approximation and Asymptotic Expansions, Wiley, 1976. | MR | Zbl
et ,[5] On the Probability of Large Deviations in Banach Spaces, Ann. Probab., vol.12, 1984, p.427-435. | MR | Zbl
,[6] Espaces Vectoriels Topologiques, Masson, 1981. | MR | Zbl
,[7] An Investigation of the Asymptotic Power of the Tests of Fit, Theory Probab. Appl., vol. 10, 1965, p. 421-437. | MR | Zbl
,[8] Sanov Property, Generalized I-Projection and a Conditional Limit Theorem, Ann. Probab., vol. 12, 1984, p. 768-793. | MR | Zbl
,[9] Asymptotic Evaluation of Certain Markov Process Expectations for Large Time-III, Commun. Pure Appl. Math., vol. 24, 1976, p. 389-461. | MR | Zbl
et ,[10] Distances of Probability Measures and Random Variables, Ann. Math. Stat., vol. 39, 1968, p. 1563-1572. | MR | Zbl
,[11] Analyse convexe et problèmes variationnels, Dunod, 1974. | MR | Zbl
et ,[12] Asymptotic Expansions for Large Deviation Probabilities in the Strong Law of Large Numbers, Probab. Theory Rel. Fields, vol. 81, 1989, p. 213-233. | MR | Zbl
,[13] Convergence de la répartition empirique vers la répartition théorique, Ann. Sci. École Norm. Sup., vol. 70, 1953, p. 266-285. | Numdam | MR | Zbl
et ,[14] Large Deviations of Goodness-of-Fit Statistics and Linear Combinations of Order Statistics, Ann. Probab., vol. 9, 1981, p.971-987. | MR | Zbl
et ,[15] Large Deviation Theorems for Empirical Probability Measures, Ann. Probab., vol. 7, 1979, p. 553-586. | MR | Zbl
, et ,[16] On Probabilities of Excessive Deviations for Kolmogorov-Smirnov, Cramér-von Mises and Chi-Square Statistics, Ann. Stat., vol. 18, 1990, p.1491-1495. | MR | Zbl
et ,[17] Modern Concepts and Theorems of Mathematical Statistics, Springer, 1986. | MR | Zbl
,[18] Dominating Points and the Asymptotics of Large Deviations for Random Walk on Rd, Ann. Probab., vol. 11, 1983, p.158-167. | MR | Zbl
,[19] Convexity and Large Deviations, Ann. Probab., vol. 12, 1984, p. 903-906. | MR | Zbl
,[20] Correction Terms for Multinomial Large Deviations, Asymptotic Theory of Statistical Tests and Estimation, Academic Press, 1980, p. 287-305. | MR | Zbl
,[21] On Approximating Probabilities for Small and Large Deviations in Rd, Ann. Probab., vol. 18, 1990, p. 727-753. | MR | Zbl
, , et ,[22] On the Probabilities of Large Deviations of Random Variables, Selected Translations in Mathematical Statistics and Probability 1, American Mathematical Society, 1961, p. 213-244. | MR | Zbl
,[23] On Local and Ratio Limit Theorems, Proceedings of the Fifth Berkeley Symposium, vol. II, University of California Press, Berkeley, 1967. | MR | Zbl
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