Rounded data analysis based on multi-layer ranked set sampling |
| |
Authors: | Wei Ming Li Zhi Dong Bai |
| |
Institution: | [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 |
| |
Abstract: | 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. |
| |
Keywords: | Rounding error multi-layer ranked set sampling work likelihood method |
本文献已被 维普 SpringerLink 等数据库收录! |
|