@article{PS_1999__3__23_0, author = {Lude\~na, Carenne}, title = {Efficient estimation of functionals of the spectral density of stationary gaussian fields}, journal = {ESAIM: Probability and Statistics}, pages = {23--47}, publisher = {EDP-Sciences}, volume = {3}, year = {1999}, mrnumber = {1693053}, zbl = {0983.62068}, language = {en}, url = {http://www.numdam.org/item/PS_1999__3__23_0/} }
TY - JOUR AU - Ludeña, Carenne TI - Efficient estimation of functionals of the spectral density of stationary gaussian fields JO - ESAIM: Probability and Statistics PY - 1999 SP - 23 EP - 47 VL - 3 PB - EDP-Sciences UR - http://www.numdam.org/item/PS_1999__3__23_0/ LA - en ID - PS_1999__3__23_0 ER -
Ludeña, Carenne. Efficient estimation of functionals of the spectral density of stationary gaussian fields. ESAIM: Probability and Statistics, Tome 3 (1999), pp. 23-47. http://www.numdam.org/item/PS_1999__3__23_0/
[1] On bilinear forms in Gaussian random variables and Toeplitz matrices. Prob. Th. Rel. Fields 79 ( 1988) 37-45. | MR | Zbl
,[2] Series of Irregular Observations. Forecasting and Model Building, Masson Éditions, Paris ( 1984). | MR | Zbl
and ,[3] Estimation of integral functionals of a density. Ann. Statist. 23 ( 1995) 11-29. | MR | Zbl
and ,[4] Inégalités de trace pour des matrices de Toeplitz et applications à des vraisemblances gaussiennes. Probability Math. Statistics 13 ( 1992) 253-267. | MR | Zbl
,[5] Spectral analysis with tapered data. J. Time Ser. Anal. 4 ( 1983) 163-175. | MR | Zbl
,[6] Parameter estimation of stationary processes with spectra containing strong peaks. Robust and nonlinear time series analysis. J. Franke, W. Härdie and D. Martin Eds. Lecture Notes in Statistics 26, Springer Verlag ( 1983). | MR | Zbl
,[7] Efficient parameter estimation for self similar processes. Ann. Statist. 17 ( 1989) 1749-1766. | MR | Zbl
,[8] Edge effects and efficient parameter estimation for stationary random fields. Biometrika 74 ( 1987) 877-882. | MR | Zbl
and ,[9] Asymptotic inference in stationary Gaussian time series. Adv. Appl. Prob. 5 ( 1973) 469-497. | MR | Zbl
,[10] Geometrizing rates of convergence II. Ann. Statist. 19 ( 1991) 633-667. | MR | Zbl
and ,[11] Central and non-central limit theorems for quadratic forms of a strongly dependent stationary Gaussian field. Rebrape 10 ( 1996) 205-223. | MR | Zbl
, and ,[12] Efroimovich, Local asymptotic normality for dependent observations. Translated front Problemy Pederachi Informatsii 14 ( 1978) 73-84. | MR
.[13] Parameter estimation for a stationary process on a d dimensional lattice. Biometrika 69 ( 1982) 95-105. | MR | Zbl
,[14] Local asymptotic minimax and admissibility in estimation. Sixth Berkeley Symposium ( 1972) 175-194. | MR | Zbl
,[15] Asymptotically efficient nonparametric estimation of functionals of a spectral density function. Prob. Th. Rel. Fields 73 ( 1986) 447-461. | MR | Zbl
and ,[16] On a nonparametric analogue of the information matrix. Theor. Prob. Appl. 21 ( 1976) 738-759. | Zbl
and ,[17] On the assumptions used to prove the asymptotic normality of maximum likelihood estimates. Ann. Math. Statist. 41 ( 1970) 802-828. | MR | Zbl
,[18] Asymptotics in StatisticsSpringer Series in Statistics ( 1990). | Zbl
and ,19] Infinite dimensional information lower bounds. Theor. Prob. Appl. 23 ( 1978) 388-394. | MR | Zbl
,[20] Estimación eficiente de funcionales de la densidad espectral de procesos gaussianos multiparamétricos. Proceedings IV CLAPEM 4 ( 1990) 140-153.
,[21] Estimation des fonctionnelles de la densité spectrale des processus gaussiens dans différents cadres de dépendance. Thèse (Docteur en Sciences), Université de Paris Sud, Centre d'Orsay, France ( 1996).
,[22] Nonparametric applications of an infinite dimensional convolution theorem. Z. Wahrsch. verw. Gebiete 68 ( 1985) 545-556. | MR | Zbl
,[23] Méthodes bayésiennes en segmentation d'image et estimation par rabotage des modèles spatiaux. Thèse (Docteur en Sciences), Université de Paris Sud, Centre d'Orsay, France ( 1990).
,