Introduction to the Mathematical and Statistical Foundations of Econometrics
Abstract
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.Download Info
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Bibliographic Info
This book is provided by Cambridge University Press in its series Cambridge Books with number 9780521834315 and published in 2005.
Order: http://www.cambridge.org/uk/catalogue/catalogue.asp?isbn=9780521834315
Handle: RePEc:cup:cbooks:9780521834315
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Related research
Keywords:Other versions of this item:
- Bierens,Herman J., 2005. "Introduction to the Mathematical and Statistical Foundations of Econometrics," Cambridge Books, Cambridge University Press, number 9780521542241.
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Altig, David E & Christiano, Lawrence J. & Eichenbaum, Martin & Lindé, Jesper, 2005.
"Firm-Specific Capital, Nominal Rigidities and the Business Cycle,"
CEPR Discussion Papers
4858, C.E.P.R. Discussion Papers.
- David Altig & Lawrence Christiano & Martin Eichenbaum & Jesper Linde, 2011. "Firm-Specific Capital, Nominal Rigidities and the Business Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(2), pages 225-247, April.
- Altig, David & Christiano, Lawrence & Eichenbaum, Martin & Lindé, Jesper, 2004. "Firm-Specific Capital, Nominal Rigidities and the Business Cycle," Working Paper Series 176, Sveriges Riksbank (Central Bank of Sweden).
- David E. Altig & Lawrence J. Christiano & Martin Eichenbaum & Jesper Linde, 2004. "Firm-specific capital, nominal rigidities, and the business cycle," Working Paper 0416, Federal Reserve Bank of Cleveland.
- David Altig & Lawrence J. Christiano & Martin Eichenbaum & Jesper Linde, 2004. "Firm-specific capital, nominal rigidities and the business cycle," Working Paper Series WP-05-01, Federal Reserve Bank of Chicago.
- David Altig & Lawrence Christiano & Martin Eichenbaum & Jesper Linde, 2005. "Firm-Specific Capital, Nominal Rigidities and the Business Cycle," NBER Working Papers 11034, National Bureau of Economic Research, Inc.
- David Altig & Lawrence J. Christiano & Martin Eichenbaum & Jesper Linde, 2010. "Firm-specific capital, nominal rigidities and the business cycle," International Finance Discussion Papers 990, Board of Governors of the Federal Reserve System (U.S.).
- Kenneth L. Sørensen & Rune Vejlin, 2012. "Return to Experience and Initial Wage Level: Do Low Wage Workers Catch Up?," Economics Working Papers 2012-02, School of Economics and Management, University of Aarhus.
- David Altig & Lawrence Christiano & Martin Eichenbaum & Jesper Linde, 2005.
"Online Appendix to "Firm-Specific Capital, Nominal Rigidities and the Business Cycle","
Technical Appendices
09-191, Review of Economic Dynamics.
- David Altig & Lawrence Christiano & Martin Eichenbaum & Jesper Linde, 2011. "Firm-Specific Capital, Nominal Rigidities and the Business Cycle," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 14(2), pages 225-247, April.
- Marcin Owczarczuk, 2009.
"Maximum Score Type Estimators,"
Central European Journal of Economic Modelling and Econometrics,
CEJEME, vol. 1(1), pages 7-34, March.
- Marcin Owczarczuk, 2008. "Maximum score type estimators," Working Papers 28, Department of Applied Econometrics, Warsaw School of Economics.
- Hanck, Christoph, 2006. "The Error-in-Rejection Probability of Meta-Analytic Panel Tests," Technical Reports 2006,46, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
- Huang, Bin & Wang, Qihua, 2010. "Semiparametric analysis based on weighted estimating equations for transformation models with missing covariates," Journal of Multivariate Analysis, Elsevier, vol. 101(9), pages 2078-2090, October.
- Hanck, Christoph, 2006. "Cross-Sectional Correlation Robust Tests for Panel Cointegration," Technical Reports 2006,44, Technische Universität Dortmund, Sonderforschungsbereich 475: Komplexitätsreduktion in multivariaten Datenstrukturen.
- Boris Bravo & Horacio Cocchi & Daniel Solís, 2006. "Output Diversification Among Small-Scale Hillside Farmers In El Salvador," OVE Working Papers 1706, Inter-American Development Bank, Office of Evaluation and Oversight (OVE).
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