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Titlebook: Linear Models with Correlated Disturbances; Paul Knottnerus Book 1991 Springer-Verlag Berlin Heidelberg 1991 Covariance matrix.Estimator.K

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书目名称Linear Models with Correlated Disturbances
编辑Paul Knottnerus
视频video
丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Linear Models with Correlated Disturbances;  Paul Knottnerus Book 1991 Springer-Verlag Berlin Heidelberg 1991 Covariance matrix.Estimator.K
描述In each chapter of this volume some specific topics in the econometric analysis of time series data are studied. All topics have in common the statistical inference in linear models with correlated disturbances. The main aim of the study is to give a survey of new and old estimation techniques for regression models with disturbances that follow an autoregressive-moving average process. In the final chapter also several test strategies for discriminating between various types of autocorrelation are discussed. In nearly all chapters it is demonstrated how useful the simple geometric interpretation of the well-known ordinary least squares (OLS) method is. By applying these geometric concepts to linear spaces spanned by scalar stochastic variables, it emerges that well-known as well as new results can be derived in a simple geometric manner, sometimes without the limiting restrictions of the usual derivations, e. g. , the conditional normal distribution, the Kalman filter equations and the Cramer-Rao inequality. The outline of the book is as follows. In Chapter 2 attention is paid to a generalization of the well-known first order autocorrelation transformation of a linear regression mo
出版日期Book 1991
关键词Covariance matrix; Estimator; Kalman-Filter; Likelihood; Regression; Time series; correlation; korrelierte
版次1
doihttps://doi.org/10.1007/978-3-642-48383-7
isbn_softcover978-3-540-53901-8
isbn_ebook978-3-642-48383-7Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin Heidelberg 1991
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GLS Estimation by Kalman Filtering,ix of the disturbances. Mélard (1983) provides a fast algorithm for calculating the exact likelihood function of an ARMA process based on the Kaiman filter technique as proposed by Harvey and Phillips.
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Distributed Lag Models and Correlated Disturbances,ss are considered. Besides a small-sample adjustment of the estimation procedure is suggested. In Section 6 attention is paid to the estimation of distributed lag models with several distinct explanatory variables. Finally, Section 7 is concerned with the Cramér-Rao inequality and its relationship to the Pythagorean theorem.
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Introduction,les, it emerges that well-known as well as new results can be derived in a simple geometric manner, sometimes without the limiting estrictions of the usual derivations, e.g., the conditional normal distribution, the Kaiman filter equations and the Cramér-Rao inequality.
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Paul Knottnerusvation, theory and modeling..An invaluable reference for thoImproving the reliability of long-range forecasts of natural disasters, such as severe weather, droughts and floods, in North America, South America, Africa and the Asian/Australasian monsoon regions is of vital importance to the livelihood
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