Buch, Englisch, 425 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1380 g
Reihe: Lecture Notes in Statistics
Buch, Englisch, 425 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 1380 g
Reihe: Lecture Notes in Statistics
ISBN: 978-0-387-95476-9
Verlag: Springer
This book presents a unified approach for obtaining the limiting distributions of minimum distance. It discusses classes of goodness-of-t tests for fitting an error distribution in some of these models and/or fitting a regression-autoregressive function without assuming the knowledge of the error distribution. The main tool is the asymptotic equi-continuity of certain basic weighted residual empirical processes in the uniform and L2 metrics.
Zielgruppe
Research
Autoren/Hrsg.
Fachgebiete
Weitere Infos & Material
1 Introduction.- 1.1 Weighted Empirical Processes.- 1.2 M-, R- and Scale Estimators.- 1.3 M.D. Estimators & Goodness-of-fit Tests.- 1.4 R.W.E. Processes and Dynamic Models.- 2 Asymptotic Properties of W.E.P.’s.- 2.1 Introduction.- 2.2 Weak Convergence.- 2.3 AUL of Residual W.E.P.’s.- 2.4 Some Additional Results for W.E.P.’S.- 3 Linear Rank and Signed Rank Statistics 69.- 3.1 Introduction.- 3.2 AUL of Lin ear Rank Statistics.- 3.3 AUL of Linear Signed Rank Statistics.- 3.4 Weak Convergence of Rank and Signed Rank W.E.P.’s.- 4 M, R and Some Scale Estimators.- 4.1 Introduction.- 4.2 M-Estimators.- 4.3 Distributions of Some Scale Estimators.- 4.4 R-Estimators.- 4.5 Est imation of Q(f).- 5 Minimum Distance Estimators.- 5.1 Introduction.- 5.2 Definitions of M.D. Estimators.- 5.3 Finite Sample Properties.- 5.4 A General M.D. Estimator.- 5.5 Asymptotic Uniform Quadraticity.- 5.6 Distributions, Efficiency & Robustness.- 6 Goodness-of-fit Tests in Regression.- 6.1 Introducti on.- 6.2 The Supremum Distance Tests.- 6.3 L2-Distance Tests.- 6.4 Testing with Unknown Scale.- 6.5 Testing for the Symmetry of the Errors.- 6.6 Regression Model Fitting.- 7 Autoregression.- 7.1 Introduction.- 7.2 AUL of Wh and Fn.- 7.3 GM- and GR- Estimators.- 7.4 Minimum Distance Estimation.- 7.5 Autoregression Quantiles and Rank Scores.- 7.6 Goodness-of-fit Testing for F.- 7.7 Autoregressive Model Fitting.- 8 Nonlinear Autoregression 358.- 8.1 Introduction.- 8.2 AR Models.- 8.3 ARCH Models.- Lectures Notes in Statistics.
