Rounded data analysis based on multi-layer ranked set sampling

被引：1

作者：

Li, Wei Ming ^{[3
,4
]}

Bai, Zhi Dong ^{[1
,2
]}

机构：

[1] NE Normal Univ, MOE, Key Lab Appl Stat, Changchun 130024, Peoples R China

[2] NE Normal Univ, Sch Math & Stat, Changchun 130024, Peoples R China

[3] Beijing Univ Aeronaut & Astronaut, KLMIB, Beijing 100191, Peoples R China

[4] Beijing Univ Aeronaut & Astronaut, Sch Math & Syst Sci, Beijing 100191, Peoples R China

来源：

ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2011年 / 27卷 / 12期

基金：

中国国家自然科学基金;

关键词：

Rounding error; multi-layer ranked set sampling; work likelihood method; INTERVAL ESTIMATION; ERRORS; MODEL; VARIABLES;

D O I：

10.1007/s10114-011-8296-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Observations of sampling are often subject to rounding, but are modeled as though they were unrounded. This paper examines the impact of rounding errors on parameter estimation with multi-layer ranked set sampling. It shows that the rounding errors seriously distort the behavior of covariance matrix estimate, and lead to inconsistent estimation. Taking this into account, we present a new approach to implement the estimation for this model, and further establish the strong consistency and asymptotic normality of the proposed estimators. Simulation experiments show that our estimates based on rounded multi-layer ranked set sampling are always more efficient than those based on rounded simple random sampling.

引用

页码：2507 / 2518

页数：12

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