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Asymptotic Theory For M Estimators In General Autoregressive Conditional Heteroscedasticity Models
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Book Synopsis Asymptotic Theory for M-estimators in General Autoregressive Conditional Heteroscedasticity Models by : Fabian Tinkl
Download or read book Asymptotic Theory for M-estimators in General Autoregressive Conditional Heteroscedasticity Models written by Fabian Tinkl and published by . This book was released on 2013 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Theory for M-estimators in General Autoregressive Conditional Heteroscedastic Time Series Models by : Fabian Tinkl
Download or read book Asymptotic Theory for M-estimators in General Autoregressive Conditional Heteroscedastic Time Series Models written by Fabian Tinkl and published by . This book was released on 2013 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Theory of M-estimators in General Statistical Models by : R. J. Chitashvili
Download or read book Asymptotic Theory of M-estimators in General Statistical Models written by R. J. Chitashvili and published by . This book was released on 1990 with total page 550 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Theory for GARCH-in-mean Models by : Weiwei Liu
Download or read book Asymptotic Theory for GARCH-in-mean Models written by Weiwei Liu and published by . This book was released on 2013 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The GARCH-in-mean process is an important extension of the standard GARCH (generalized autoregressive conditional heteroscedastic) process and it has wide applications in economics and finance. The parameter estimation of GARCH type models usually involves the quasi-maximum likelihood (QML) technique as it produces consistent and asymptotically Gaussian distributed estimators under certain regularity conditions. For a pure GARCH model, such conditions were already found with asymptotic properties of its QML estimator well understood. However, when it comes to GARCH-in-mean models those properties are still largely unknown. The focus of this work is to establish a set of conditions under which the QML estimator of GARCH-in-mean models will have the desired asymptotic properties. Some general Markov model tools are applied to derive the result.
Book Synopsis Asymptotic Theory of M-estimators in General Statistical Models by : R. J. Chitashvili
Download or read book Asymptotic Theory of M-estimators in General Statistical Models written by R. J. Chitashvili and published by . This book was released on 1990 with total page 31 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic Theory of General Multivariate GARCH Models by : Weibin Jiang
Download or read book Asymptotic Theory of General Multivariate GARCH Models written by Weibin Jiang and published by . This book was released on 2011 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Generalized autoregressive conditional heteroscedasticity (GARCH) models are widely used in financial markets. Parameters of GARCH models are usually estimated by the quasi-maximum likelihood estimator (QMLE). In recent years, economic theory often implies equilibrium between the levels of time series, which makes the application of multivariate models a necessity. Unfortunately the asymptotic theory of the multivariate GARCH models is far from coherent since many algorithms on the univariate case do not extend to multivariate models naturally. This thesis studies the asymptotic theory of the QMLE under mild conditions. We give some counterexamples for the parameter identifiability result in Jeantheau [1998] and provide a better necessary and sufficient condition. We prove the ergodicity of the conditional variance process on an application of theorems by Meyn and Tweedie [2009]. Under those conditions, the consistency and asymptotic normality of the QMLE can be proved by the standard compactness argument and Taylor expansion of the score function. We also give numeric example on verifying the assumptions and the scaling issue when estimating GARCH parameters in S+ FinMetrics.
Book Synopsis Asymptotic Theory of M-estimators in General Statistical Models by : R. J. Chitashvili
Download or read book Asymptotic Theory of M-estimators in General Statistical Models written by R. J. Chitashvili and published by . This book was released on 1990 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Asymptotic Theory for Arch (∞) Models by : Christian Hafner
Download or read book On Asymptotic Theory for Arch (∞) Models written by Christian Hafner and published by . This book was released on 2017 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Autoregressive conditional heteroskedasticity (ARCH)() models nest a wide range of ARCH and generalized ARCH models including models with long memory in volatility. Existing work assumes the existence of second moments. However, the fractionally integrated generalized ARCH model, one version of a long memory in volatility model, does not have finite second moments and rarely satisfies the moment conditions of the existing literature. This article weakens the moment assumptions of a general ARCH() class of models and develops the theory for consistency and asymptotic normality of the quasi-maximum likelihood estimator.
Book Synopsis Empirical Processes in M-Estimation by : Sara A. van de Geer
Download or read book Empirical Processes in M-Estimation written by Sara A. van de Geer and published by Cambridge University Press. This book was released on 2009-11-19 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of empirical processes provides valuable tools for the development of asymptotic theory in (nonparametric) statistical models, and makes it possible to give a unified treatment of various models. This book reveals the relation between the asymptotic behavior of M-estimators and the complexity of parameter space, using entropy as a measure of complexity, presenting tools and methods to analyze nonparametric, and in some cases, semiparametric methods. Graduate students and professionals in statistics, as well as those interested in applications, e.g. to econometrics, medical statistics, etc., will welcome this treatment.
Book Synopsis Asymptotic Properties of Some Estimators in Moving Average Models by : Stanford University. Department of Statistics
Download or read book Asymptotic Properties of Some Estimators in Moving Average Models written by Stanford University. Department of Statistics and published by . This book was released on 1975 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author considers estimation procedures for the moving average model of order q. Walker's method uses k sample autocovariances (k> or = q). Assume that k depends on T in such a way that k nears infinity as T nears infinity. The estimates are consistent, asymptotically normal and asymptotically efficient if k = k (T) dominates log T and is dominated by (T sub 1/2). The approach in proving these theorems involves obtaining an explicit form for the components of the inverse of a symmetric matrix with equal elements along its five central diagonals, and zeroes elsewhere. The asymptotic normality follows from a central limit theorem for normalized sums of random variables that are dependent of order k, where k tends to infinity with T. An alternative form of the estimator facilitates the calculations and the analysis of the role of k, without changing the asymptotic properties.
Book Synopsis Robust M-Estimation of Multivariate GARCH Models by : Kris Boudt
Download or read book Robust M-Estimation of Multivariate GARCH Models written by Kris Boudt and published by . This book was released on 2012 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In empirical work on multivariate financial time series, it is common to postulate a Multivariate GARCH model. We show that the popular Gaussian quasi-maximum likelihood estimator of MGARCH models is very sensitive to outliers in the data. We propose to use robust M-estimators and provide asymptotic theory for M-estimators of MGARCH models. The Monte Carlo study and empirical application document the good robustness properties of the M-estimator with a fat-tailed Student t loss function and volatility models with the property of bounded innovation propagation.
Book Synopsis On Asymptotic Behaviour of Estimators Under Model Disturbance by : R. J. Chitashvili
Download or read book On Asymptotic Behaviour of Estimators Under Model Disturbance written by R. J. Chitashvili and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Penalized M-estimation for Partly Linear Transformation Models with Current Status Data by : Shuangge Ma
Download or read book Penalized M-estimation for Partly Linear Transformation Models with Current Status Data written by Shuangge Ma and published by . This book was released on 2004 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :D. M. Mahinda Samarakoon Publisher :National Library of Canada = Bibliothèque nationale du Canada ISBN 13 :9780612918436 Total Pages :316 pages Book Rating :4.9/5 (184 download)
Book Synopsis Limit Theory for M-estimation for Infinite Variance Processes [microform] by : D. M. Mahinda Samarakoon
Download or read book Limit Theory for M-estimation for Infinite Variance Processes [microform] written by D. M. Mahinda Samarakoon and published by National Library of Canada = Bibliothèque nationale du Canada. This book was released on 2004 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is well known that the Gaussian assumption on innovations of time series models leads to a strong limitation on the applicability of those models, especially in modeling financial and econometric variables, mainly because of the asymmetry and heavy-tailedness of the distributions of innovations. In this study we develop asymptotic theory for M-estimators under the assumption of infinite variance innovations. We consider the estimation of parameters in three models, namely autoregressive process with a unit root, vector autoregressions with integrated processes and econometric cointegration process, and derive the limiting distributions of M-estimators. We assume that the innovations are in the domain of attraction of a stable law.
Book Synopsis Asymptotic Theory for M-estimators of Boundaries by : Keith Knight
Download or read book Asymptotic Theory for M-estimators of Boundaries written by Keith Knight and published by . This book was released on 2005 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Asymptotic theory for ordinary least squares estimators in regression models with forecast feedback by : Michael Mohr
Download or read book Asymptotic theory for ordinary least squares estimators in regression models with forecast feedback written by Michael Mohr and published by . This book was released on 1990 with total page 107 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis On Asymptotic Behaviour of Estimators in the Presence of Nuisance Parameters by : R. J. Chitashvili
Download or read book On Asymptotic Behaviour of Estimators in the Presence of Nuisance Parameters written by R. J. Chitashvili and published by . This book was released on 1990 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: