作者机构：
[Zhang Shangli] Beijing Jiaotong Univ, Sch Sci, Beijing 100044, Peoples R China.;[Qin Hong] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
通讯机构：
[Qin Hong] C;Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
摘要：
In this paper, we study the issue of admissibility in the growth curve model with respect to restricted parameter sets under matrix loss function. We obtain some necessary and sufficient conditions that the linear estimators of KBL are admissible in the class of homogeneous linear estimators and in the class of non-homogeneous linear estimators under the growth curve model with respect to restricted parameter sets, respectively.
作者机构：
[Qin Hong] Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.;Beijing Jiaotong Univ, Dept Math, Beijing 100044, Peoples R China.;Hong Kong Baptist Univ, Dept Math, Hong Kong, Hong Kong, Peoples R China.
通讯机构：
[Qin Hong] C;Cent China Normal Univ, Dept Math, Wuhan 430079, Peoples R China.
摘要：
When the number of runs is large, to search for uniform designs in the sense of low-discrepancy is an NP hard problem. The number of runs of most of the available uniform designs is small (≤ 50). In this article, the authors employ a kind of the so-called Hamming distance method to construct uniform designs with two- or three-level such that some resulting uniform designs have a large number of runs. Several infinite classes for the existence of uniform designs with the same Hamming distances between any distinct rows are also obtained simultaneously. Two measures of uniformity, the centered L2-discrepancy (CD, for short) and wrap-around L2-discrepancy (WD, for short), are employed.
