Extent:
Online-Ressource (1 online resource (xiv, 489 p.))
ill.
Type of publication: Book / Working Paper
Language: English
Notes:
Includes bibliographical references (p. [473]-486) and index. - Description based on print version record
""Title page""; ""Copyright page""; ""Preface""; ""Notation""; ""1: Classical Time Series Models and Financial Series""; ""1.1 Stationary Processes""; ""1.2 ARMA and ARIMA Models""; ""1.3 Financial Series""; ""1.4 Random Variance Models""; ""1.5 Bibliographical Notes""; ""1.6 Exercises""; ""Part I: Univariate GARCH Models""; ""2: GARCH(p, q) Processes""; ""2.1 Definitions and Representations""; ""2.2 Stationarity Study""; ""2.2.1 The GARCH (1, 1) Case""; ""2.2.2 The General Case""; ""2.3 ARCH (∞) Representation*""; ""2.3.1 Existence Conditions""; ""2.3.2 ARCH (∞) Representation of a GARCH""
""2.3.3 Long-Memory ARCH""""2.4 Properties of the Marginal Distribution""; ""2.4.1 Even-Order Moments""; ""2.4.2 Kurtosis""; ""2.5 Autocovariances of the Squares of a GARCH""; ""2.5.1 Positivity of the Autocovariances""; ""2.5.2 The Autocovariances Do Not Always Decrease""; ""2.5.3 Explicit Computation of the Autocovariances of the Squares""; ""2.6 Theoretical Predictions""; ""2.7 Bibliographical Notes""; ""2.8 Exercises""; ""3: Mixing*""; ""3.1 Markov Chains with Continuous State Space""; ""3.2 Mixing Properties of GARCH Processes""; ""3.3 Bibliographical Notes""; ""3.4 Exercises""
""4: Temporal Aggregation and Weak GARCH Models""""4.1 Temporal Aggregation of GARCH Processes""; ""4.1.1 Nontemporal Aggregation of Strong Models""; ""4.1.2 Nonaggregation in the Class of Semi-Strong GARCH Processes""; ""4.2 Weak GARCH""; ""4.3 Aggregation of Strong GARCH Processes in the Weak GARCH Class""; ""4.4 Bibliographical Notes""; ""4.5 Exercises""; ""Part II: Statistical Inference""; ""5: Identification""; ""5.1 Autocorrelation Check for White Noise""; ""5.1.1 Behavior of the Sample Autocorrelations of a GARCH Process""; ""5.1.2 Portmanteau Tests""
""5.1.3 Sample Partial Autocorrelations of a GARCH""""5.1.4 Numerical Illustrations""; ""5.2 Identifying the ARMA Orders of an ARMA-GARCH""; ""5.2.1 Sample Autocorrelations of an ARMA-GARCH""; ""5.2.2 Sample Autocorrelations of an ARMA-GARCH Process When the Noise is Not Symmetrically Distributed""; ""5.2.3 Identifying the Orders (P,Q) 106""; ""5.3 Identifying the GARCH Orders of an ARMA-GARCH Model""; ""5.3.1 Corner Method in the GARCH Case""; ""5.3.2 Applications""; ""5.4 Lagrange Multiplier Test for Conditional Homoscedasticity""; ""5.4.1 General Form of the LM Test""
""5.4.2 LM Test for Conditional Homoscedasticity""""5.5 Application to Real Series""; ""5.6 Bibliographical Notes""; ""5.7 Exercises""; ""6: Estimating ARCH Models by Least Squares""; ""6.1 Estimation of ARCH(q) models by Ordinary Least Squares""; ""6.2 Estimation of ARCH(q) Models by Feasible Generalized Least Squares""; ""6.3 Estimation by Constrained Ordinary Least Squares""; ""6.3.1 Properties of the Constrained OLS Estimator""; ""6.3.2 Computation of the Constrained OLS Estimator""; ""6.4 Bibliographical Notes""; ""6.5 Exercises""
""7: Estimating GARCH Models by Quasi-Maximum Likelihood""
ISBN: 978-1-282-79451-1 ; 1-282-79451-5 ; 978-0-470-67004-0 ; 0-470-68391-0 ; 978-0-470-67004-0 ; 978-0-470-68391-0 ; 1-282-79447-7
Classification: Mathematische Statistik ; Methoden und Techniken der Volkswirtschaft
Source:
ECONIS - Online Catalogue of the ZBW
Persistent link: https://www.econbiz.de/10012678621