ESTIMATING A DENSITY UNDER ORDER RESTRICTIONS - NONASYMPTOTIC MINIMAX RISK

被引:61
作者
BIRGE, L
机构
[1] CNRS,UA 743,NANTERRE,FRANCE
[2] MATH SCI RES INST,BERKELEY,CA
关键词
D O I
10.1214/aos/1176350488
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 ;
摘要
引用
收藏
页码:995 / 1012
页数:18
相关论文
共 15 条
  • [1] ASSOUAD P, 1983, CR ACAD SCI I-MATH, V296, P1021
  • [2] APPROXIMATION IN METRIC-SPACES AND ESTIMATION THEORY
    BIRGE, L
    [J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1983, 65 (02): : 181 - 237
  • [3] BIRGE L, 1984, ANN I H POINCARE-PR, V20, P201
  • [4] BIRGE L, 1984, PROBAB MATH STAT, V0003, P00259
  • [5] ESTIMATION OF DENSITIES - MINIMAL RISK
    BRETAGNOLLE, J
    HUBER, C
    [J]. ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE, 1979, 47 (02): : 119 - 137
  • [6] Grenander U, 1980, ABSTRACT INFERENCE
  • [7] GROENEBOOM P, 1985, P BERK C HON J NEYM, V0002, P00539
  • [8] MINIMAX TESTS AND NEYMAN-PEARSON LEMMA FOR CAPACITIES
    HUBER, PJ
    STRASSEN, V
    [J]. ANNALS OF STATISTICS, 1973, 1 (02) : 251 - 263
  • [9] A ROBUST VERSION OF THE PROBABILITY RATIO TEST
    HUBER, PJ
    [J]. ANNALS OF MATHEMATICAL STATISTICS, 1965, 36 (06): : 1753 - 1758
  • [10] KIEFER J, 1982, ESSAYS HONOR CR RAO, P419