A Class of Estimators for Population Variance in Two Occasion Rotation Patterns

被引：12
|
作者：
Singh, G. N. [1 ]
Priyanka [2 ]
Prasad, Shakti [1 ]
Singh, Sarjinder [3 ]
Kim, Jong-Min [4 ]
机构：
[1] Indian Sch Mines, Dept Appl Math, Dhanbad 826004, Bihar, India
[2] Univ Delhi, Shivaji Coll, Dept Math, New Delhi, India
[3] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA
[4] Univ Minnesota, Div Sci & Math, Morris, MN 56267 USA
来源：
COMMUNICATIONS FOR STATISTICAL APPLICATIONS AND METHODS | 2013年 / 20卷 / 04期
关键词：
Successive (rotation) sampling; variance estimation; bias; mean square error; optimum replacement policy;
D O I：
10.5351/CSAM.2013.20.4.247
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：
A variety of practical problems can be addressed in the framework of rotation (successive) sampling. The present work presents a sample rotation pattern where sampling units are drawn on two successive occasions. The problem of estimation of population variance on current (second) occasion in two - occasion successive (rotation) sampling has been considered. A class of estimators has been proposed for population variance that includes many estimators as a particular case. Asymptotic properties of the proposed class of estimators are discussed. The proposed class of estimators is compared with the sample variance estimator when there is no matching from the previous occasion. Optimum replacement policy is discussed. Results are supported with the empirical means of comparison.
引用
收藏
页码：247 / 257
页数：11
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