@article{AIHPB_1986__22_1_37_0, author = {Doukhan, Paul and Le\'on, Jos\'e Rafael and Portal, F.}, title = {Une mesure de la d\'eviation quadratique d'estimateurs non param\'etriques}, journal = {Annales de l'I.H.P. Probabilit\'es et statistiques}, volume = {22}, year = {1986}, pages = {37-66}, mrnumber = {838372}, zbl = {0599.62043}, language = {fr}, url = {http://dml.mathdoc.fr/item/AIHPB_1986__22_1_37_0} }
Doukhan, P.; Leon, J.; Portal, F. Une mesure de la déviation quadratique d'estimateurs non paramétriques. Annales de l'I.H.P. Probabilités et statistiques, Tome 22 (1986) pp. 37-66. http://gdmltest.u-ga.fr/item/AIHPB_1986__22_1_37_0/
[1] Estimation des densités : risques minimaux. Z. W., t. 47, 1979, p. 119-137. | MR 523165 | Zbl 0413.62024
, ,[2] Evaluations of unknown distribution density from observation. Soviet. Math., t. 3, 1962, p. 1559-1562. | Zbl 0133.11801
,[3]
, Thèse. Université Paul Sabatier, Toulouse, 1976.[4] 296, 1983, p. 859-862. | MR 712758 | Zbl 0529.62037
, , C. R. A. S. Série I, t.[5] Strong approximations in Probability and Statistics, 1981, Academic Press. | MR 666546 | Zbl 0539.60029
, ,[6] Limit theorems for sums of weakly dependant Banach space valued random variables. Z. W., t. 63, 1983, p. 393-432. | MR 705631 | Zbl 0496.60004
,[7] Simulations in the first order autogression process. Specifying Statistical Models. Lecture Notes in Statistics, t. 16, 1983, p. 50-68, Spinger-Verlag. | Zbl 0503.62085
,[8]
, and , C. R. A. S. Série I., 1984.[9] Calcul de la vitesse de convergence dans le théorème central limite, vis-à-vis des distances de Levy, Dudley et Prohorov, dans le cas de variables aléatoires dépendantes (Probability and Mathematical Statistics, Vol. 6, Fasc. 1), 1985. | Zbl 0607.60019
, and ,[10] Applications Statistiques des principes d'Invariance dans un cadre mélangeant, 1984 (à paraître).
, and ,[11] 297, 1983, p. 129-132. | MR 720925 | Zbl 0544.62022
, , C. R. A. S. Série I, t.[12] Kernel estimations of regression functions, Smoothing technics for curve estimation. Lecture Notes in Mathematics, t. 757, 1979, p. 23-68, Springer-Verlag. | MR 564251 | Zbl 0418.62033
and ,[13] An orthogonal series estimate of time varying regression. Ann. Inst. Stat. Math. A, t. 35, 1983, p. 215-228. | MR 716032 | Zbl 0536.62072
, and ,[14] Berry Essen estimates in Hilbert space an application to L. I. L. Ann. Prob., t. 2, 1974, p. 387-407. | MR 362427 | Zbl 0298.60017
and ,[15] Asymptotic behaviour of the quadratic deviation of multivariante density estimates. Ann. Inst. Henry Poincaré B, t. 19, 1983, p. 297-309. | Numdam | MR 725562 | Zbl 0527.62046
,[16] On estimation of a Probability Density and Mode. Ann. Math., t. 35, 1962, p. 1065-1076. | Zbl 0116.11302
,[17] Methods of modern Mathematical Physics, t. III, 1970, Academic Press. | Zbl 0405.47007
and ,[18] A quadratic measure of deviation of two dimensional density estimates and a test of independence. Ann. of Stat., t. 3, 1975, p. 1-14. | MR 428579 | Zbl 0325.62030
,[19] Orthogonal functions, Interscience Publisher Inc., New York, 1959. | MR 103368 | Zbl 0084.06106
,[20] Estimation of a probability density by an orthogonal serie. Ann. Math. Stat., t. 38, 1967, p. 1261-1265. | MR 221638 | Zbl 0157.47904
,[21] Orthogonal Polynomials. Amer. Math. Soc. Coll. Publ., t. 23, 1959. | MR 106295 | Zbl 0089.27501
,[22] L∞-bound for asymptotic normality of weakly dependent summands using Stein's result. Ann. Prob., t. 9, 1981, p. 676. | MR 624695 | Zbl 0465.60033
,