PROPERTIES OF HERMITE SERIES ESTIMATION OF PROBABILITY DENSITY

被引：64
作者：
WALTER, GG [1 ]
机构：
[1] UNIV WISCONSIN,DEPT MATH,MILWAUKEE,WI 53201
来源：
ANNALS OF STATISTICS | 1977年 / 5卷 / 06期
关键词：
D O I：
10.1214/aos/1176344013
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：1258 / 1264
页数：7
相关论文
共 11 条
[1]  
BLUM JJ, TO BE PUBLISHED
[2]   ESTIMATION OF PROBABILITY DENSITIES AND CUMULATIVES BY FOURIER SERIES METHODS [J].
KRONMAL, R ;
TARTER, M .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1968, 63 (323) :925-&
[3]   ESTIMATION OF A PROBABILITY DENSITY-FUNCTION AND MODE [J].
PARZEN, E .
ANNALS OF MATHEMATICAL STATISTICS, 1962, 33 (03) :1065-&
[4]  
ROSENBLATT M, 1956, ANN MATH STATIST, V27, P932
[5]   ESTIMATION OF PROBABILITY DENSITY BY AN ORTHOGONAL SERIES [J].
SCHWARTZ, SC .
ANNALS OF MATHEMATICAL STATISTICS, 1967, 38 (04) :1261-&
[6]  
SZEGO G, 1959, 32 AM MATH SOC COLL
[7]  
Van Ryzin J, 1973, COMMUN STAT, V2, P493, DOI [10.1080/03610927308827093, DOI 10.1080/03610927308827093]
[8]   INTERPOLATING SPLINE METHODS FOR DENSITY ESTIMATION L - EQUI-SPACED KNOTS [J].
WAHBA, G .
ANNALS OF STATISTICS, 1975, 3 (01) :30-48
[9]   OPTIMAL CONVERGENCE PROPERTIES OF VARIABLE KNOT, KERNEL, AND ORTHOGONAL SERIES METHODS FOR DENSITY ESTIMATION [J].
WAHBA, G .
ANNALS OF STATISTICS, 1975, 3 (01) :15-29
[10]   POLYNOMIAL ALGORITHM FOR DENSITY ESTIMATION [J].
WAHBA, G .
ANNALS OF MATHEMATICAL STATISTICS, 1971, 42 (06) :1870-&
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