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

来源：

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

页码：995 / 1012

页数：18

共 15 条

[1]

ASSOUAD P, 1983, CR ACAD SCI I-MATH, V296, P1021

[2] APPROXIMATION IN METRIC-SPACES AND ESTIMATION THEORY [J].

BIRGE, L .

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 [J].

BRETAGNOLLE, J ;

HUBER, C .

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 [J].

HUBER, PJ ;

STRASSEN, V .

[9] A ROBUST VERSION OF THE PROBABILITY RATIO TEST [J].

HUBER, PJ .

ANNALS OF MATHEMATICAL STATISTICS, 1965, 36 (06) :1753-1758

[10]

KIEFER J, 1982, ESSAYS HONOR CR RAO, P419