Rounded Data Analysis Based on Multi-Layer Ranked Set Sampling  

作　　者：Wei Ming LI Zhi Dong BAI 

机构地区：[1]KLMIB and School of Mathematics and Systems Science,Beijing University of Aeronautics and Astronautics, Beijing 100191, P. R. China [2]Key Laboratory for Applied Statistics of MOE and School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, P. R. China

出　　处：《Acta Mathematica Sinica,English Series》2011年第12期2507-2518,共12页数学学报（英文版）

基　　金：The second author is supported by National Natural Science Foundation of China （Grant No. 10871036）

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.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.

关 键 词：Rounding error multi-layer ranked set sampling work likelihood method 

分 类 号：TP311.13[自动化与计算机技术—计算机软件与理论] X831.01[自动化与计算机技术—计算机科学与技术]