01709nam 2200505 450 991082439190332120230808193919.00-19-180053-80-19-105676-6(CKB)3710000000737937(EBL)4545386(MiAaPQ)EBC4545386(StDuBDS)EDZ0001526142(Au-PeEL)EBL4545386(CaPaEBR)ebr11237338(OCoLC)953456232(EXLCZ)99371000000073793720160809h20162016 uy 0engur|n|---|||||rdacontentrdamediardacarrierSjogren's syndrome /edited by Wan-Fai NgOxford, England :Oxford University Press,2016.©20161 online resource (145 p.)Oxford Rheumatology LibraryDescription based upon print version of record.0-19-105677-4 0-19-873695-9 Includes bibliographical references at the end of each chapters and index.Sjögren's Syndrome summarises current understanding of the pathogenesis of the disease, including advances in the genetics, disease mechanisms, clinical diagnosis and assessment, secondary Sjögren's syndrome, and the role of laboratory investigations and imaging.Oxford rheumatology library.Sjogren's syndromeSjogren's syndrome.616.775Ng Wan-FaiMiAaPQMiAaPQMiAaPQBOOK9910824391903321Sjogren's syndrome3980819UNINA05814nam 2200685 450 991083105110332120170810190648.01-118-85396-21-118-85392-X1-118-85393-8(CKB)3710000000251854(EBL)1810511(SSID)ssj0001348340(PQKBManifestationID)11775629(PQKBTitleCode)TC0001348340(PQKBWorkID)11372227(PQKB)11618509(MiAaPQ)EBC1810511(DLC) 2014011507(CaSebORM)9781118853962(PPN)192687441(EXLCZ)99371000000025185420141014h20142014 uy 0engur|n|---|||||txtccrStatistical inference for models with multivariate t-distributed errors /A. K. Md. Ehsanes Saleh, M. Arashi, S. M. M. Tabatabaey1st editionHoboken, New Jersey :John Wiley & Sons,2014.©20141 online resource (275 p.)Description based upon print version of record.1-322-19613-3 1-118-85405-5 Includes bibliographical references and indexes.Cover; Title Page; Copyright Page; CONTENTS; List of Figures; List of Tables; Preface; Glossary; List of Symbols; 1 Introduction; 1.1 Objective of the Book; 1.2 Models under Consideration; 1.2.1 Location Model; 1.2.2 Simple Linear Model; 1.2.3 ANOVA Model; 1.2.4 Parallelism Model; 1.2.5 Multiple Regression Model; 1.2.6 Ridge Regression; 1.2.7 Multivariate Model; 1.2.8 Simple Multivariate Linear Model; 1.3 Organization of the Book; 1.4 Problems; 2 Preliminaries; 2.1 Normal Distribution; 2.2 Chi-Square Distribution; 2.3 Student''s t-Distribution; 2.4 F-Distribution2.5 Multivariate Normal Distribution2.6 Multivariate t-Distribution; 2.6.1 Expected Values of Functions of M_t^(p)(η , σ^2V_p, γo) - Variables; 2.6.2 Sampling Distribution of Quadratic Forms; 2.6.3 Distribution of Linear Functions of t-Variables; 2.7 Problems; 3 Location Model; 3.1 Model Specification; 3.2 Unbiased Estimates of θ and σ^2 and Test of Hypothesis; 3.3 Estimators; 3.4 Bias and MSE Expressions of the Location Estimators; 3.4.1 Analysis of the Estimators of Location Parameter; 3.5 Various Estimates of Variance; 3.5.1 Bias and MSE Expressions of the Variance Estimators3.5.2 Analysis of the Estimators of the Variance Parameter3.6 Problems; 4 Simple Regression Model; 4.1 Introduction; 4.2 Estimation and Testing of η; 4.2.1 Estimation of η; 4.2.2 Test of Intercept Parameter; 4.2.3 Estimators of β and θ; 4.3 Properties of Intercept Parameter; 4.3.1 Bias Expressions of the Estimators; 4.3.2 MSE Expressions of the Estimators; 4.4 Comparison; 4.4.1 Optimum Level of Significance of θ_n^PT; 4.5 Numerical Illustration; 4.6 Problems; 5 ANOVA; 5.1 Model Specification; 5.2 Proposed Estimators and Testing; 5.3 Bias, MSE, and Risk Expressions; 5.4 Risk Analysis5.4.1 Comparison of θ_n and θ_n5.4.2 Comparison of θ_n_PT and θ_n(θ_n); 5.4.3 Comparison of θ_n^S, θ_n , θn, and θ_n^PT; 5.4.4 Comparison of θ_n^S and θ_n^S+; 5.5 Problems; 6 Parallelism Model; 6.1 Model Specification; 6.2 Estimation of the Parameters and Test of Parallelism; 6.2.1 Test of Parallelism; 6.3 Bias, MSE, and Risk Expressions; 6.3.1 Expressions of Bias, MSE Matrix, and Risks of β_n, Θ_n, β_n, and Θ_n; 6.3.2 Expressions of Bias, MSE Matrix, and Risks of the PTEs of β and Θ; 6.3.3 Expressions of Bias, MSE Matrix, and Risks of the SSEs of β and Θ6.3.4 Expressions of Bias, MSE Matrix, and Risks of the PRSEs of β and Θ6.4 Risk Analysis; 6.5 Problems; 7 Multiple Regression Model; 7.1 Model Specification; 7.2 Shrinkage Estimators and Testing; 7.3 Bias and Risk Expressions; 7.3.1 Balanced Loss Function; 7.3.2 Properties; 7.4 Comparison; 7.5 Problems; 8 Ridge Regression; 8.1 Model Specification; 8.2 Proposed Estimators; 8.3 Bias, MSE, and Risk Expressions; 8.3.1 Biases of the Estimators; 8.3.2 MSE Matrices and Risks of the Estimators; 8.4 Performance of the Estimators; 8.4.1 Comparison between β_n(k), β_n^S(k), and β_n^S+(k)8.4.2 Comparison between β_n (k) and β_n^PT (k)"This book summarizes the results of various models under normal theory with a brief review of the literature. Statistical Inference for Models with Multivariate t-Distributed Errors: Includes a wide array of applications for the analysis of multivariate observations Emphasizes the development of linear statistical models with applications to engineering, the physical sciences, and mathematics Contains an up-to-date bibliography featuring the latest trends and advances in the field to provide a collective source for research on the topic Addresses linear regression models with non-normal errors with practical real-world examples Uniquely addresses regression models in Student's t-distributed errors and t-models Supplemented with an Instructor's Solutions Manual, which is available via written request by the Publisher "--Provided by publisher.Regression analysisMultivariate analysisRegression analysis.Multivariate analysis.519.536MAT029030MAT029010MAT029020bisacshSaleh A. K. Md. Ehsanes150888Arashi M.Tabatabaey S. M. M.MiAaPQMiAaPQMiAaPQBOOK9910831051103321Statistical inference for models with multivariate t-distributed errors4028021UNINA01617nas 2200505-a 450 99620694560331620230125214211.00974-6870(OCoLC)679298490(CKB)1000000000223022(CONSER)--2019208001(DE-599)ZDB2499946-5(EXLCZ)99100000000022302220101107a199u9999 s-- aengurbn||||||abpurbn||||||adatxtrdacontentcrdamediacrrdacarrierDifferential equations and dynamical systems DEDSHyderabad, India Research Square Publications1 online resource (volumes)Refereed/Peer-reviewed0971-3514 DEDSDIFFERENTIAL EQUATIONS & DYNAMICAL SYSTEMSDifferential equationsPeriodicalsDifferentiable dynamical systemsPeriodicalsDynamicsPeriodicalsDifferentiable dynamical systemsfast(OCoLC)fst00893426Differential equationsfast(OCoLC)fst00893446Dynamicsfast(OCoLC)fst00900295Periodicals.fastDifferential equationsDifferentiable dynamical systemsDynamicsDifferentiable dynamical systems.Differential equations.Dynamics.515.3505JOURNAL996206945603316Differential equations and dynamical systems383994UNISA