05436nam 2200661Ia 450 991082991480332120170810193228.01-282-38215-297866123821540-470-82444-10-470-82443-3(CKB)1000000000799889(EBL)479828(SSID)ssj0000365947(PQKBManifestationID)11296468(PQKBTitleCode)TC0000365947(PQKBWorkID)10413875(PQKB)11755440(MiAaPQ)EBC479828(OCoLC)521034718(EXLCZ)99100000000079988920090121d2009 uy 0engur|n|---|||||txtccrSmooth tests of goodness of fit[electronic resource] /J.C.W. Rayner, O. Thas, D.J. Best2nd ed.Hoboken, NJ Wileyc20091 online resource (300 p.)Wiley series in probability and statistics Smooth tests of goodness of fit using R Description based upon print version of record.0-470-82442-5 Includes bibliographical references and index.SMOOTH TESTS OF GOODNESS OF FIT USING R; Contents; Preface; 1 Introduction; 1.1 The Problem Defined; 1.2 A Brief History of Smooth Tests; 1.3 Monograph Outline; 1.4 Examples; 2 Pearson's X2 Test; 2.1 Introduction; 2.2 Foundations; 2.3 The Pearson X2 Test - an Update; 2.3.1 Notation, Definition of the Test, and Class Construction; 2.3.2 Power Related Properties; 2.3.3 The Sample Space Partition Approach; 2.4 X2 Tests of Composite Hypotheses; 2.5 Examples; 3 Asymptotically Optimal Tests; 3.1 Introduction; 3.2 The Likelihood Ratio, Wald, and Score Tests for a Simple Null Hypothesis3.3 The Likelihood Ratio, Wald and Score Tests for Composite Null Hypotheses3.4 Generalized Score Tests; 4 Neyman Smooth Tests for Simple Null Hypotheses; 4.1 Neyman's Ψ2 test; 4.2 Neyman Smooth Tests for Uncategorized Simple Null Hypotheses; 4.3 The Choice of Order; 4.4 Examples; 4.5 EDF Tests; 5 Categorized Simple Null Hypotheses; 5.1 Smooth Tests for Completely Specified Multinomials; 5.2 X2 Effective Order; 5.3 Components of X2P; 5.3.1 Construction of the Components; 5.3.2 Power Study; 5.3.3 Diagnostic Tests; 5.3.4 Cressie and Read Tests; 5.4 Examples; 5.5 Class Construction5.5.1 The Alternatives5.5.2 Results of the Simulation Study; 5.5.3 Discussion; 5.6 A More Comprehensive Class of Tests; 5.7 Overlapping Cells Tests; 6 Neyman Smooth Tests for Uncategorized Composite Null Hypotheses; 6.1 Neyman Smooth Tests for Uncategorized Composite Null Hypotheses; 6.2 Smooth Tests for the Univariate Normal Distribution; 6.2.1 The Construction of the Smooth Test; 6.2.2 Simulation Study; 6.2.3 Examples; 6.2.4 Relationship with a Test of Thomas and Pierce; 6.3 Smooth Tests for the Exponential Distribution; 6.4 Smooth Tests for Multivariate Normal Distribution6.5 Smooth Tests for the Bivariate Poisson Distribution6.5.1 Definitions; 6.5.2 Score Tests for the Bivariate Poisson Model; 6.5.3 A Smooth Covariance Test; 6.5.4 Variance Tests; 6.5.5 A Competitor for the Index of Dispersion Test; 6.5.6 Revised Index of Dispersion and Crockett Tests; 6.6 Components of the Rao-Robson X2 Statistic; 7 Neyman Smooth Tests for Categorized Composite Null Hypotheses; 7.1 Neyman Smooth Tests for Composite Multinomials; 7.2 Components of the Pearson-Fisher Statistic; 7.3 Composite Overlapping Cells and Cell Focusing X2 Tests7.4 A Comparison between the Pearson-Fisher and Rao-Robson X2 Tests8 Neyman Smooth Tests for Uncategorized Composite Null Hypotheses: Discrete Distributions; 8.1 Neyman Smooth Tests for Discrete Uncategorized Composite Null Hypotheses; 8.2 Smooth and EDF Tests for the Univariate Poisson Distribution; 8.2.1 Definitions; 8.2.2 Size and Power Study; 8.2.3 Examples; 8.3 Smooth and EDF Tests for the Binomial Distribution; 8.3.1 Definitions; 8.3.2 Size and Power Study; 8.3.3 Examples; 8.4 Smooth Tests for the Geometric Distribution; 8.4.1 Definitions; 8.4.2 Size and Power Study; 8.4.3 Examples9 Construction of Generalized Smooth Tests: Theoretical ContributionsIn this fully revised and expanded edition of Smooth Tests of Goodness of Fit, the latest powerful techniques for assessing statistical and probabilistic models using this proven class of procedures are presented in a practical and easily accessible manner. Emphasis is placed on modern developments such as data-driven tests, diagnostic properties, and model selection techniques. Applicable to most statistical distributions, the methodology described in this book is optimal for deriving tests of fit for new distributions and complex probabilistic models, and is a standard against which nGoodness-of-fit testsStatistical hypothesis testingGoodness-of-fit tests.Statistical hypothesis testing.519.5/6519.56Rayner J. C. W248333Best D. J248334Thas O(Olivier)1688699MiAaPQMiAaPQMiAaPQBOOK9910829914803321Smooth tests of goodness of fit4063163UNINA03412nam 2200553 a 450 991043802940332120200520144314.01-283-93558-93-658-01052-510.1007/978-3-658-01052-2(CKB)3400000000110376(EBL)1083092(OCoLC)821823518(SSID)ssj0000879227(PQKBManifestationID)11477727(PQKBTitleCode)TC0000879227(PQKBWorkID)10852340(PQKB)11750534(DE-He213)978-3-658-01052-2(MiAaPQ)EBC1083092(PPN)168330873(EXLCZ)99340000000011037620121114d2013 uy 0engur|n|---|||||txtccrLP-theory for incompressible Newtonian flows energy preserving boundary conditions, weakly singular domains /Matthias Kohne1st ed. 2013.New York Springer20131 online resource (184 p.)Description based upon print version of record.3-658-01051-7 Includes bibliographical references and index.Navier-Stokes Equations -- Energy Preserving Boundary Condition -- Weakly Singular Domain -- Maximal Lp-Regularity.This thesis is devoted to the study of the basic equations of fluid dynamics. First Matthias Köhne focuses on the derivation of a class of boundary conditions, which is based on energy estimates, and, thus, leads to physically relevant conditions. The derived class thereby contains many prominent artificial boundary conditions, which have proved to be suitable for direct numerical simulations involving artificial boundaries. The second part is devoted to the development of a complete Lp-theory for the resulting initial boundary value problems in bounded smooth domains, i.e. the Navier-Stokes equations complemented by one of the derived energy preserving boundary conditions. Finally, the third part of this thesis focuses on the corresponding theory for bounded, non-smooth domains, where the boundary of the domain is allowed to contain a finite number of edges, provided the smooth components of the boundary that meet at such an edge are locally orthogonal. Contents ·         Navier-Stokes Equations ·         Energy Preserving Boundary Condition ·         Weakly Singular Domain ·         Maximal Lp-Regularity Target Groups ·         Scientists, lecturers and graduate students in the fields of mathematical fluid dynamics and partial differential equations as well as experts in applied analysis. The author Matthias Köhne earned a doctorate of Mathematics under the supervision of Prof. Dr. Dieter Bothe at the Department of Mathematics at TU Darmstadt, where his research was supported by the cluster of excellence ''Center of Smart Interfaces'' and the international research training group ''Mathematical Fluid Dynamics''.Newtonian fluidsNewtonian fluids.518.64518/.64Kohne Matthias1064646MiAaPQMiAaPQMiAaPQBOOK9910438029403321Lp-Theory for Incompressible Newtonian Flows2539844UNINA