ASYMPTOTIC NORMALITY OF A VARIANCE ESTIMATOR OF A LINEAR COMBINATION OF A FUNCTION OF ORDER STATISTICS

被引:6
作者
GARDINER, JC [1 ]
SEN, PK [1 ]
机构
[1] UNIV N CAROLINA,DEPT BIOSTAT,CHARLOTTE,NC 28223
来源
ZEITSCHRIFT FUR WAHRSCHEINLICHKEITSTHEORIE UND VERWANDTE GEBIETE | 1979年 / 50卷 / 02期
关键词
D O I
10.1007/BF00533640
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
An estimator of the asymptotic variance of (a randomly stopped) linear combination of a function of order statistics is considered and its asymptotic normality is studied under appropriate regularity conditions. A comparative study of the regularity conditions pertaining to the asymptotic normality and strong convergence of linear combinations of functions of order statistics and their estimated asymptotic variances is also made. © 1979 Springer-Verlag.
引用
收藏
页码:205 / 221
页数:17
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