UNIFORM CONSISTENCY OF A CLASS OF REGRESSION FUNCTION ESTIMATORS FOR BANACH-SPACE VALUED RANDOM VARIABLE

被引：8

作者：

LECOUTRE, JP

机构：

[1] Laboratoire de Statistique Théorique et Appliquée, Université de Paris VI

来源：

STATISTICS & PROBABILITY LETTERS | 1990年 / 10卷 / 02期

关键词：

almost complete convergence; Banach-space valued random variable; Regression function; statistically equivalent blocks estimator;

D O I：

10.1016/0167-7152(90)90010-5

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：

This paper deals with an estimator mn of the regression function m(x) = E(Y | X = x) with X in the real line and Y in a sufficiently regular Banach space. By using infinite dimensional probability inequalities for sums, we show that mn is uniformly consistent. © 1990.

引用

页码：145 / 149

页数：5

共 12 条

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OLSHEN, RA
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OLSHEN, RA
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[9] LECOUTRE JP, 1982, THESIS U PM CURIE PA
[10] NON-PARAMETRIC ESTIMATION .2. STATISTICALLY EQUIVALENT BLOCKS AND TOLERANCE REGIONS - THE CONTINUOUS CASE
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