不含邻点的循环平衡样本设计的若干构造
PDF下载 (32)蔡钦琳,郭 超,王小苗*.不含邻点的循环平衡样本设计的若干构造[J].宁波大学学报(理工版),2024,37(2):96-100.DOI:10.20098/j.cnki.1001-5132.2023.0225
CAI Qinlin,GUO Chao,WANG Xiaomiao.Some constructions on cyclic balanced sampling plans excluding contiguous units[J].Journal of Ningbo University(Natural Science & Engineering Edition),2024,37(2):96-100.DOI:10.20098/j.cnki.1001-5132.2023.0225
| Title: | Some constructions on cyclic balanced sampling plans excluding contiguous units |
| 作者: | 蔡钦琳, 郭 超, 王小苗* |
| Author(s): | CAI Qinlin, GUO Chao, WANG Xiaomiao |
| 关键词: | 平衡样本设计; 循环BSEC; 区组轨道; 差阵; 完美差族 |
| Keywords: | balanced sampling plan; cyclic BSEC; block orbit; difference matrix; perfect difference family |
| 分类号: | O157.2 |
| DOI: | 10.20098/j.cnki.1001-5132.2023.0225 |
| 文献标识码: | A |
| 摘要: | 不含邻点的平衡样本设计可被用于抽样调查. 借助循环差阵, 建立区组大小为4的不含邻点循环平衡样本设计(CBSEC)的递归构造. 应用递归构造和基于计算机搜索的直接构造, 给出含2个相同半轨道或4个四分之一轨道的CBSEC的一些存在性结果. 并且当时, 利用完美差族给出了CBSEC的一个新构造 |
| Abstract: | Balanced sampling plans excluding contiguous units can be used for survey sampling. In this paper, using the tool of cyclic difference matrix, recursive constructions are established for cyclic balanced sampling plans excluding contiguous units (CBSEC) with block size 4. With the applications of recursive constructions and direct constructions based on computer search, some existence results on CBSECs either with the same two half orbits or with four quarter orbits are presented. A new construction for CBSECs with is also given via perfect difference families. |
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| 备注/Memo: | 收稿日期: 2023−02−16. 宁波大学学报（理工版）网址: http://journallg.nbu.edu.cn/ 基金项目: 国家自然科学基金（11771227）; 宁波市自然科学基金（202003N4141）; 浙江省省属高校基本科研业务费专项资金（SJLY2020008）. 第一作者: 蔡钦琳, 硕士研究生, 主要研究方向: 组合设计与编码理论. E-mail: caiqinlin1999@163.com *通信作者: 王小苗, 博士/教授, 主要研究方向: 组合设计与编码理论. E-mail: wangxiaomiao@nbu.edu.cn 宁波大学学报（理工版）网址：http://journallg.nbu.edu.cn/ |
