@article{SAD_1985__10_3_26_0,
author = {Cellier, Dominique and Fourdrinier, Dominique},
title = {Estimateurs \`a r\'etr\'ecisseurs de la moyenne d'une loi normale multidimensionnelle, pour un co\^ut quadratique g\'en\'eral},
journal = {Statistique et analyse des donn\'ees},
volume = {10},
year = {1985},
pages = {26-41},
mrnumber = {920349},
zbl = {0607.62056},
language = {fr},
url = {http://dml.mathdoc.fr/item/SAD_1985__10_3_26_0}
}
Cellier, Dominique; Fourdrinier, Dominique. Estimateurs à rétrécisseurs de la moyenne d'une loi normale multidimensionnelle, pour un coût quadratique général. Statistique et analyse des données, Tome 10 (1985) pp. 26-41. http://gdmltest.u-ga.fr/item/SAD_1985__10_3_26_0/
[1] , "Présentation, dans les cas classiques et bayésiens, des estimateurs de James-Stein généralisés", Thèse de 3 cycle de l'Université de Rouen, 1983.
[2] , "Minimax estimation of location vectors for a wide class of densities", The Annals of Statistics, 1975,Vol. 3, n°6, pp. 1318-1328. | MR 386080 | Zbl 0322.62009
[3] , "Admissible minimax estimation of a multivariate normal mean with arbitrary quadratic loss", The Annals of Statistics, 1976, Vol. 4, n°l, pp. 223-226. | MR 397940 | Zbl 0322.62007
[4] , "Minimax estimation of a multivariate normal mean under arbitrary quadratic loss", Journal of Multivariate Analysis, 1976, 6, pp. 256-264. | MR 408057 | Zbl 0338.62004
[5] , "A robust generalized Bayes estimator and confidence region for a multivariate normal mean", The Annals of Statistics, 1980, Vol. 8, n°4, pp. 716-761. | MR 572619 | Zbl 0464.62026
[6] , , , and , "Minimax estimation of a normal mean vector for arbitrary quadratic loss and unknown covariance matrix", The Annals of Statistics, 1977, Vol. 5, n°4, pp. 763-771. | MR 443156 | Zbl 0356.62009
[7] , "Minimax estimation of the mean of spherically symmetric distribution under general quadratic loss", Journal of Multivariate Analysis, 1979, 9, pp. 579-588. | MR 556913 | Zbl 0432.62033
[8] and , "Minimax estimation of location parameters for spherically symmetric distributions with concave loss", The Annals of Statistics, 1980, Vol. 8, n°2, pp. 279-284. | MR 560729 | Zbl 0432.62008
[9] , "Minimax estimation of a normal mean vector when the covariance is unknown", The Annals of Statistics, 1979, Vol. 7, n°4, pp. 838-846. | MR 532247 | Zbl 0418.62004
[10] and , "Estimation with quadratic loss", Proc. Fourth Berkeley Symp. Math. Statist. Prob., University of California Press, 1961, 1, pp. 361-379. | MR 133191 | Zbl pre05621494
[11] and , The statistical implications of pretest and Stein rule estimators in econometrics, North-Holland, 1978. | MR 483199 | Zbl 0395.62078
[12] , and , "Non-optimality of preliminary test estimators for the multinormal mean", The Annals of Mathematical Statistics, 1980, Vol. 43, n°5, pp. 1481-1490. | Zbl 0249.62029
[13] , "Simultaneous estimation of location parameters under quadratic loss", The Annals of Statistics, 1984, Vol. 1, n°4, pp. 322-335. | MR 733517 | Zbl 0542.62042
[14] , "Inadmissibility of the usual estimator for the mean of a multivariate normal distribution, Proc. Third Berkeley Symp. Math. Statist. Prob., University of California Press, 1955, 1, pp. 197-206. | MR 84922 | Zbl 0073.35602
[15] , "Estimation of the mean of a multivariate normal distribution", The Annals of Statistics, 1981, Vol. 9, n°6, pp. 1135-1151. | MR 630098 | Zbl 0476.62035