ASYMPTOTICALLY MINIMAX ADAPTIVE ESTIMATION .1. UPPER-BOUNDS - OPTIMALLY ADAPTIVE ESTIMATES

被引:164
作者
LEPSKII, OV
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D O I
10.1137/1136085
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
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页码:682 / 697
页数:16
相关论文
共 9 条
[1]   NONPARAMETRIC-ESTIMATION OF A DENSITY OF UNKNOWN SMOOTHNESS [J].
EFROIMOVICH, SY .
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1986, 30 (03) :557-568
[2]  
EFROMOVICH S, 1984, AUTOMAT REM CONTR, V45, P58
[3]  
GODOVANCHUK VV, 1983, THEOR PROBAB APPL, V28, P142
[4]   OPTIMAL BANDWIDTH SELECTION IN NONPARAMETRIC REGRESSION FUNCTION ESTIMATION [J].
HARDLE, W ;
MARRON, JS .
ANNALS OF STATISTICS, 1985, 13 (04) :1465-1481
[5]  
IBRAGIMOV IA, 1980, THEOR PROBAB APPL+, V25, P703, DOI 10.1137/1125086
[6]  
IBRAGIMOV IA, 1981, STATISTICAL ESTIMATI
[7]  
KOROTAEV AA, 1987, SOVIET FOREST SCI, P52
[8]   ON A PROBLEM OF ADAPTIVE ESTIMATION IN GAUSSIAN WHITE-NOISE [J].
LEPSKII, OV .
THEORY OF PROBABILITY AND ITS APPLICATIONS, 1990, 35 (03) :454-466
[9]   OPTIMAL GLOBAL RATES OF CONVERGENCE FOR NONPARAMETRIC REGRESSION [J].
STONE, CJ .
ANNALS OF STATISTICS, 1982, 10 (04) :1040-1053