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000851416 0247_ $$a10.1007/978-981-13-2041-5$$2doi
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000851416 050_4 $$aQA279
000851416 08204 $$a519.5/7$$223
000851416 1001_ $$aFang, Kaitai,$$eauthor.
000851416 24510 $$aTheory and application of uniform experimental designs /$$cKai-Tai Fang, Min-Qian Liu, Hong Qin, Yong-Dao Zhou.
000851416 264_1 $$aSingapore :$$bSpringer,$$c2018.
000851416 300__ $$a1 online resource (xvi, 300 pages) :$$billustrations.
000851416 336__ $$atext$$btxt$$2rdacontent
000851416 337__ $$acomputer$$bc$$2rdamedia
000851416 338__ $$aonline resource$$bcr$$2rdacarrier
000851416 347__ $$atext file$$bPDF$$2rda
000851416 4901_ $$aLecture notes in statistics,$$x0930-0325 ;$$vvolume 221
000851416 504__ $$aIncludes bibliographical references and index.
000851416 5050_ $$aIntro; Foreword; Preface; References; Contents; 1 Introduction; 1.1 Experiments; 1.1.1 Examples; 1.1.2 Experimental Characteristics; 1.1.3 Type of Experiments; 1.2 Basic Terminologies Used; 1.3 Statistical Models; 1.3.1 Factorial Designs and ANOVA Models; 1.3.2 Fractional Factorial Designs; 1.3.3 Linear Regression Models; 1.3.4 Nonparametric Regression Models; 1.3.5 Robustness of Regression Models; 1.4 Word-Length Pattern: Resolution and Minimum Aberration; 1.4.1 Ordering; 1.4.2 Defining Relation; 1.4.3 Word-Length Pattern and Resolution; 1.4.4 Minimum Aberration Criterion and Its Extension
000851416 5058_ $$a1.5 Implementation of Uniform Designs for Multifactor Experiments1.6 Applications of the Uniform Design; References; 2 Uniformity Criteria; 2.1 Overall Mean Model; 2.2 Star Discrepancy; 2.2.1 Definition; 2.2.2 Properties; 2.3 Generalized L2-Discrepancy; 2.3.1 Definition; 2.3.2 Centered L2-Discrepancy; 2.3.3 Wrap-around L2-Discrepancy; 2.3.4 Some Discussion on CD and WD; 2.3.5 Mixture Discrepancy; 2.4 Reproducing Kernel for Discrepancies; 2.5 Discrepancies for Finite Numbers of Levels; 2.5.1 Discrete Discrepancy; 2.5.2 Lee Discrepancy; 2.6 Lower Bounds of Discrepancies
000851416 5058_ $$a2.6.1 Lower Bounds of the Centered L2-Discrepancy2.6.2 Lower Bounds of the Wrap-around L2-Discrepancy; 2.6.3 Lower Bounds of Mixture Discrepancy; 2.6.4 Lower Bounds of Discrete Discrepancy; 2.6.5 Lower Bounds of Lee Discrepancy; References; 3 Construction of Uniform Designs-Deterministic Methods; 3.1 Uniform Design Tables; 3.1.1 Background of Uniform Design Tables; 3.1.2 One-Factor Uniform Designs; 3.2 Uniform Designs with Multiple Factors; 3.2.1 Complexity of the Construction; 3.2.2 Remarks; 3.3 Good Lattice Point Method and Its Modifications; 3.3.1 Good Lattice Point Method
000851416 5058_ $$a3.3.2 The Leave-One-Out glpm3.3.3 Good Lattice Point with Power Generator; 3.4 The Cutting Method; 3.5 Linear Level Permutation Method; 3.6 Combinatorial Construction Methods; 3.6.1 Connection Between Uniform Designs and Uniformly Resolvable Designs; 3.6.2 Construction Approaches via Combinatorics; 3.6.3 Construction Approach via Saturated Orthogonal Arrays; 3.6.4 Further Results; References; 4 Construction of Uniform Designs-Algorithmic Optimization Methods; 4.1 Numerical Search for Uniform Designs; 4.2 Threshold-Accepting Method; 4.3 Construction Method Based on Quadratic Form
000851416 5058_ $$a4.3.1 Quadratic Forms of Discrepancies4.3.2 Complementary Design Theory; 4.3.3 Optimal Frequency Vector; 4.3.4 Integer Programming Problem Method; References; 5 Modeling Techniques; 5.1 Basis Functions; 5.1.1 Polynomial Regression Models; 5.1.2 Spline Basis; 5.1.3 Wavelets Basis; 5.1.4 Radial Basis Functions; 5.1.5 Selection of Variables; 5.2 Modeling Techniques: Kriging Models; 5.2.1 Models; 5.2.2 Estimation; 5.2.3 Maximum Likelihood Estimation; 5.2.4 Parametric Empirical Kriging; 5.2.5 Examples and Discussion; 5.3 A Case Study on Environmental Data-Model Selection; References
000851416 506__ $$aAccess limited to authorized users.
000851416 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed October 11, 2018).
000851416 650_0 $$aExperimental design.
000851416 7001_ $$aLiu, Min-Qian,$$eauthor.
000851416 7001_ $$aQin, Hong,$$eauthor.
000851416 7001_ $$aZhou, Yong-Dao,$$eauthor.
000851416 77608 $$iPrint version: $$z9811320403$$z9789811320408$$w(OCoLC)1044857046
000851416 830_0 $$aLecture notes in statistics (Springer-Verlag) ;$$vv. 221.
000851416 852__ $$bebk
000851416 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-981-13-2041-5$$zOnline Access$$91397441.1
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