Identification and Estimation of the Error-In-Variables Model-- EVM-- in Structural Form PDF Download
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Author: Raman Kumar Mehra
Publisher:
ISBN:
Category : Regression analysis
Languages : en
Pages :
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Book Description
Author: Raman Kumar Mehra
Publisher:
ISBN:
Category : Regression analysis
Languages : en
Pages :
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Author: R. K. Mehra
Publisher:
ISBN:
Category :
Languages : en
Pages : 32
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Book Description
Author: Jaime Terceiro Lomba
Publisher: Springer Science & Business Media
ISBN: 3642488102
Category : Business & Economics
Languages : en
Pages : 126
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Book Description
A new procedure for the maximum-likelihood estimation of dynamic econometric models with errors in both endogenous and exogenous variables is presented in this monograph. A complete analytical development of the expressions used in problems of estimation and verification of models in state-space form is presented. The results are useful in relation not only to the problem of errors in variables but also to any other possible econometric application of state-space formulations.
Author: Torsten Söderström
Publisher: Springer
ISBN: 3319750011
Category : Technology & Engineering
Languages : en
Pages : 495
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Book Description
This book presents an overview of the different errors-in-variables (EIV) methods that can be used for system identification. Readers will explore the properties of an EIV problem. Such problems play an important role when the purpose is the determination of the physical laws that describe the process, rather than the prediction or control of its future behaviour. EIV problems typically occur when the purpose of the modelling is to get physical insight into a process. Identifiability of the model parameters for EIV problems is a non-trivial issue, and sufficient conditions for identifiability are given. The author covers various modelling aspects which, taken together, can find a solution, including the characterization of noise properties, extension to multivariable systems, and continuous-time models. The book finds solutions that are constituted of methods that are compatible with a set of noisy data, which traditional approaches to solutions, such as (total) least squares, do not find. A number of identification methods for the EIV problem are presented. Each method is accompanied with a detailed analysis based on statistical theory, and the relationship between the different methods is explained. A multitude of methods are covered, including: instrumental variables methods; methods based on bias-compensation; covariance matching methods; and prediction error and maximum-likelihood methods. The book shows how many of the methods can be applied in either the time or the frequency domain and provides special methods adapted to the case of periodic excitation. It concludes with a chapter specifically devoted to practical aspects and user perspectives that will facilitate the transfer of the theoretical material to application in real systems. Errors-in-Variables Methods in System Identification gives readers the possibility of recovering true system dynamics from noisy measurements, while solving over-determined systems of equations, making it suitable for statisticians and mathematicians alike. The book also acts as a reference for researchers and computer engineers because of its detailed exploration of EIV problems.
Author:
Publisher:
ISBN:
Category : Mathematical optimization
Languages : en
Pages : 1192
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Book Description
Author: Michiel Hazewinkel
Publisher: Springer Science & Business Media
ISBN: 9400979339
Category : Business & Economics
Languages : en
Pages : 353
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Book Description
This book contains the Proceedings of a symposium that was held in Rotterdam from 12 to 15 January 1982 to celebrate the 25-th anniversary of the Econometric Institute of the Erasmus University. The subject of the symposium, developments in econometrics and related fields, was particularly appropriate for the occasion. In 25 years the research carried out at the Econometric Institute developed from the original seminal work in econometrics, carried out under the supervision of the first director H. Theil, to embrace related areas such as mathematical economics, operations research, systems theory and other branches of mathematics, statistics and probability theory. To review the state of the art in these areas, thirteen leading experts were invited to deliver a lecture at the symposium; their contributions form .the backbone of this book. Together, they illustrate the wide range and scope of the current scientific activity in these fields. The thirteen authoritative surveys should be of great value to researchers and students alike, who want to become acquainted with recent ideas, current trends and future developments in their chosen fields of interest. Each contribution is preceded by an introduction to the author and his work and followed by a summary of the discussion that followed the lecture. A special chapter is devoted to the history of the Econometric Institute.
Author: Naum Samoĭlovich Raĭbman
Publisher:
ISBN:
Category : Automatic control
Languages : en
Pages : 670
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Book Description
Author: Paruchuri R. Krishnaiah
Publisher: Academic Press
ISBN: 148326422X
Category : Mathematics
Languages : en
Pages : 302
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Book Description
Developments in Statistics, Volume 4 reviews developments in the theory and applications of statistics, covering topics such as time series, identifiability and model selection, and missing data. The application of structured exploratory data analysis to human genetics, specifically, the mode of inheritance, is also considered. Comprised of four chapters, this volume begins with an introduction to spectrum parameter estimation in time series analysis, restricting the discussion to the simplest univariate (that is, scalar) real-valued time series X(t). An accurate formulation of the general problem is presented. The accuracy of different consistent estimates obtained for large but fixed values of T (maximum likelihood estimates, Whittle's estimates, and simplified asymptotically efficient estimates) is also compared. The next chapter deals with identifiability and modeling in econometrics, focusing on the theoretical framework relating realization theory, identification, and parametrization. The realization theory is illustrated on various levels of generality by means of examples related to econometrics, along with some advanced applications of system theory. The book also examines inference on parameters of multivariate normal populations when some data are missing before concluding with an evaluation of structured exploratory data as applied to the study of the mode of inheritance. This monograph will be of interest to students and practitioners of statistics.
Author:
Publisher:
ISBN:
Category : Estimation theory
Languages : en
Pages : 682
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Book Description
Author: Pieter W. Otter
Publisher: Springer Science & Business Media
ISBN: 364245593X
Category : Business & Economics
Languages : en
Pages : 193
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Book Description
The literature on systems seems to have been growing almost expo nentially during the last decade and one may question whether there is need for another book. In the author's view, most of the literature on 'systems' is either technical in mathematical sense or technical ifF engineering sense (with technical words such as noise, filtering etc. ) and not easily accessible to researchers is other fields, in particular not to economists, econometricians and quantitative researchers in so cial sciences. This is unfortunate, because achievements in the rather 'young' science of system theory and system engineering are of impor tance for modelling, estimation and regulation (control) problems in other branches of science. State space mode~iing; the concept of ob servability and controllability; the mathematical formulations of sta bility; the so-called canonical forms; prediction error e~timation; optimal control and Kalman filtering are some examples of results of system theory and system engineering which proved to be successful in practice. A brief summary of system theoretical concepts is given in Chapter II where an attempt has been made to translate the concepts in to the more 'familiar' language used in econometrics and social sciences by means of examples. By interrelating concepts and results from system theory with those from econometrics and social sciences, the author has attempted to narrow the gap between the more technical sciences such as engi neering and social sciences and econometrics, and to contribute to either side.
