A new class of orthogonal Latin hypercubes

被引:0
|
作者
Nam-Ky Nguyen [1 ]
机构
[1] Vietnam Natl Univ, Int Sch, Bldg C, Hanoi, Vietnam
来源
STATISTICS AND APPLICATIONS | 2008年 / 6卷 / 1-2期
关键词
Computer experiments; Latin squares;
D O I
暂无
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 paper, we develop a new class of orthogonal Latin hypercubes (OLHs) based on Latin squares. These OLHs have n = 2(r+1) + 1 rows and k = 2(r) columns (r = 1, 2, . . .). For a given number of runs, our OLH vastly increases the numbers of orthogonal columns of OLHs in Ye (1998) and Cioppa & Lucas (2007).
引用
收藏
页码:119 / 123
页数:5
相关论文
共 50 条
  • [41] Algorithms for generating maximin latin hypercube and orthogonal designs
    Moon H.
    Dean A.
    Santner T.
    Journal of Statistical Theory and Practice, 2011, 5 (1) : 81 - 98
  • [42] Reduction of Parity Overhead in a Subset of Orthogonal Latin Square Codes
    Reviriego, Pedro
    Liu, Shanshan
    Sanchez-Macian, Alfonso
    Xiao, Liyi
    Antonio Maestro, Juan
    2020 XXXV CONFERENCE ON DESIGN OF CIRCUITS AND INTEGRATED SYSTEMS (DCIS), 2020,
  • [43] Check character systems over groups and orthogonal Latin squares
    Schulz, RH
    APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING, 1996, 7 (02) : 125 - 132
  • [44] On Weighted-Sum Orthogonal Latin Squares and Secret Sharing
    Nuida, Koji
    Adachi, Tomoko
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2024, E107A (09) : 1492 - 1495
  • [45] A GENERAL THEORY FOR ORTHOGONAL ARRAY BASED LATIN HYPERCUBE SAMPLING
    Ai, Mingyao
    Kong, Xiangshun
    Li, Kang
    STATISTICA SINICA, 2016, 26 (02) : 761 - 777
  • [46] Sliced Orthogonal Array-Based Latin Hypercube Designs
    Hwang, Youngdeok
    Qian, Peter Z. G.
    He, Xu
    TECHNOMETRICS, 2016, 58 (01) : 50 - 61
  • [47] Orthogonal Latin hypercube designs with special reference to four factors
    Mandal, B. N.
    Dash, Sukanta
    Parui, Shyamsundar
    Parsad, Rajender
    STATISTICS & PROBABILITY LETTERS, 2016, 119 : 181 - 185
  • [48] Difference Covering Arrays and Pseudo-Orthogonal Latin Squares
    Demirkale, Fatih
    Donovan, Diane
    Hall, Joanne
    Khodkar, Abdollah
    Rao, Asha
    GRAPHS AND COMBINATORICS, 2016, 32 (04) : 1353 - 1374
  • [49] Difference Covering Arrays and Pseudo-Orthogonal Latin Squares
    Fatih Demirkale
    Diane Donovan
    Joanne Hall
    Abdollah Khodkar
    Asha Rao
    Graphs and Combinatorics, 2016, 32 : 1353 - 1374
  • [50] Construction of orthogonal Latin hypercube designs with flexible run sizes
    Sun, Fasheng
    Liu, Min-Qian
    Lin, Dennis K. J.
    JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 2010, 140 (11) : 3236 - 3242