IMPROVEMENT ON SOME KNOWN NONPARAMETRIC UNIFORMLY CONSISTENT ESTIMATORS OF DERIVATIVES OF A DENSITY

被引:46
作者
SINGH, RS [1 ]
机构
[1] INDIAN STAT INST,NEW DELHI,INDIA
关键词
D O I
10.1214/aos/1176343805
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:394 / 399
页数:6
相关论文
共 10 条
[1]  
BHATTACHARYA PK, 1967, SANKHYA SER A, V29, P373
[2]  
Kiefer J., 1961, PAC J MATH, V11, P649, DOI DOI 10.2140/PJM.1961.11.649
[3]   ON NON-PARAMETRIC ESTIMATES OF DENSITY FUNCTIONS AND REGRESSION CURVES [J].
NADARAYA, EA .
THEORY OF PROBILITY AND ITS APPLICATIONS,USSR, 1965, 10 (01) :186-&
[4]   ESTIMATION OF A PROBABILITY DENSITY-FUNCTION AND MODE [J].
PARZEN, E .
ANNALS OF MATHEMATICAL STATISTICS, 1962, 33 (03) :1065-&
[5]   REMARKS ON SOME NONPARAMETRIC ESTIMATES OF A DENSITY-FUNCTION [J].
ROSENBLATT, M .
ANNALS OF MATHEMATICAL STATISTICS, 1956, 27 (03) :832-837
[6]   ESTIMATION OF A PROBABILITY DENSITY FUNCTION AND ITS DERIVATIVES [J].
SCHUSTER, EF .
ANNALS OF MATHEMATICAL STATISTICS, 1969, 40 (04) :1187-&
[7]   ESTIMATION OF PROBABILITY DENSITY BY AN ORTHOGONAL SERIES [J].
SCHWARTZ, SC .
ANNALS OF MATHEMATICAL STATISTICS, 1967, 38 (04) :1261-&
[8]  
SINGH RD, UNPUBLISHED
[9]   NONPARAMETRIC ESTIMATION OF MIXED PARTIAL DERIVATIVES OF A MULTIVARIATE DENSITY [J].
SINGH, RS .
JOURNAL OF MULTIVARIATE ANALYSIS, 1976, 6 (01) :111-122
[10]  
SINGH RS, 1974, RM18 MICH STAT U DEP