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Uniformity pattern and related criteria for q-level factorials

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成果类型:
期刊论文
作者:
Qin, Hong*;Wang, Zhenghong;Chatterjee, Kashinath
通讯作者:
Qin, Hong
作者机构:
[Qin, Hong; Wang, Zhenghong] Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
[Chatterjee, Kashinath] Visva Bharati Univ, Dept Stat, Santini Ketan, W Bengal, India.
[Wang, Zhenghong] S Cent Univ Nationalities, Sch Math & Stat, Wuhan 430074, Peoples R China.
通讯机构:
[Qin, Hong] C
Cent China Normal Univ, Fac Math & Stat, Wuhan 430079, Peoples R China.
语种:
英文
关键词:
General minimum aberration;Lower bound;Minimum moment aberration;Minimum uniformity aberration;Orthogonality;Projection discrepancy
期刊:
Journal of Statistical Planning and Inference
ISSN:
0378-3758
年:
2012
卷:
142
期:
5
页码:
1170-1177
基金类别:
SRFDPSpecialized Research Fund for the Doctoral Program of Higher Education (SRFDP) [20090144110002]; NNSF of ChinaNational Natural Science Foundation of China (NSFC) [10671080]; Special Fund for Basic Scientific Research of Central Colleges
机构署名:
本校为第一且通讯机构
院系归属:
数学与统计学学院
摘要:
The objective of this paper is to study the issue of the projection discrepancy along the line of Liu (2002) and Fang and Qin (2005) based on discrete discrepancy measure proposed in Qin and Fang (2004), which has wide application to the field of fractional factorials. Here we also study the projection properties for q-level factorials and provide connection between minimum projection uniformity and other optimality criteria. A lower bound to projection discrepancy for q-level factorials is presented here. Crown Copyri...

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