Partitionable sets and cyclic BSECs with block size four

被引：9

作者：

Zhang, Jing ^{[1
]}

Chang, Yanxun ^{[1
]}

机构：

[1] Beijing Jiaotong Univ, Inst Math, Beijing 100044, Peoples R China

来源：

JOURNAL OF STATISTICAL PLANNING AND INFERENCE | 2009年 / 139卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Balanced sampling plans excluding contiguous units (BSEC); Cyclic BSEC; Partitionable set; Difference matrix; DESIGNS;

D O I：

10.1016/j.jspi.2008.09.007

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：

In this article, we introduce a combinatorial structure called a partitionable set. We use these sets to construct cyclic balanced sampling plans excluding contiguous units. Two recursive constructions for CBSEC(upsilon,4, 1)'s are established by utilizing partitionable sets and difference matrices. As consequent we get the existence of a CBSEC(au, 4 ,1) where u is a product of numbers in Q = {p : p equivalent to 1 (mod 4) and p is prime} boolean OR {q : q equivalent to 1, 5(mod 12), q <= 160} and a is an element of {3, 27, 63, 99, 171, 207, 243}. (c) 2008 Elsevier B.V. All rights reserved.

引用

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