Introduction to the mathematical and statistical foundations of econometrics / Herman J. Bierens.
Bierens, Herman J., 1943-| Call Number | 330/.01/5195 |
| Author | Bierens, Herman J., 1943- author. |
| Title | Introduction to the mathematical and statistical foundations of econometrics / Herman J. Bierens. Introduction to the Mathematical & Statistical Foundations of Econometrics |
| Physical Description | 1 online resource (xvii, 323 pages) : digital, PDF file(s). |
| Series | Themes in modern econometrics |
| Notes | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| Summary | This book is intended for use in a rigorous introductory PhD level course in econometrics, or in a field course in econometric theory. It covers the measure-theoretical foundation of probability theory, the multivariate normal distribution with its application to classical linear regression analysis, various laws of large numbers, central limit theorems and related results for independent random variables as well as for stationary time series, with applications to asymptotic inference of M-estimators, and maximum likelihood theory. Some chapters have their own appendices containing the more advanced topics and/or difficult proofs. Moreover, there are three appendices with material that is supposed to be known. Appendix I contains a comprehensive review of linear algebra, including all the proofs. Appendix II reviews a variety of mathematical topics and concepts that are used throughout the main text, and Appendix III reviews complex analysis. Therefore, this book is uniquely self-contained. |
| Subject | ECONOMETRICS. |
| Multimedia |
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| Summary | This book is intended for use in a rigorous introductory PhD level course in econometrics, or in a field course in econometric theory. It covers the measure-theoretical foundation of probability theory, the multivariate normal distribution with its application to classical linear regression analysis, various laws of large numbers, central limit theorems and related results for independent random variables as well as for stationary time series, with applications to asymptotic inference of M-estimators, and maximum likelihood theory. Some chapters have their own appendices containing the more advanced topics and/or difficult proofs. Moreover, there are three appendices with material that is supposed to be known. Appendix I contains a comprehensive review of linear algebra, including all the proofs. Appendix II reviews a variety of mathematical topics and concepts that are used throughout the main text, and Appendix III reviews complex analysis. Therefore, this book is uniquely self-contained. |
| Notes | Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
| Subject | ECONOMETRICS. |
| Multimedia |