Skip to main content
Erschienen in:
Buchtitelbild

2013 | OriginalPaper | Buchkapitel

1. Vectors and Vector Spaces

verfasst von : Phoebus J. Dhrymes

Erschienen in: Mathematics for Econometrics

Verlag: Springer New York

Aktivieren Sie unsere intelligente Suche um passende Fachinhalte oder Patente zu finden.

search-config
loading …

Abstract

In nearly all of the discussion in this volume, we deal with the set of real numbers. Occasionally, however, we deal with complex numbers as well.

Sie haben noch keine Lizenz? Dann Informieren Sie sich jetzt über unsere Produkte:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

  • über 102.000 Bücher
  • über 537 Zeitschriften

aus folgenden Fachgebieten:

  • Automobil + Motoren
  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Elektrotechnik + Elektronik
  • Energie + Nachhaltigkeit
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Maschinenbau + Werkstoffe
  • Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

  • über 67.000 Bücher
  • über 340 Zeitschriften

aus folgenden Fachgebieten:

  • Bauwesen + Immobilien
  • Business IT + Informatik
  • Finance + Banking
  • Management + Führung
  • Marketing + Vertrieb
  • Versicherung + Risiko




Jetzt Wissensvorsprung sichern!

Fußnoten
1
The symbol \(\mathcal{F}\) is, in this discussion, a primitive and simply denotes the collection of objects we are dealing with.
 
2
This is an instance of the vectorization of a matrix, a topic we shall discuss at length at a later chapter.
 
Literatur
Zurück zum Zitat Anderson, T.W. and H. Rubin (1949), Estimation of the Parameters of a Single Equation in a Complete System of Stochastic Equations, Annals of Mathematical Statistics, pp. 46–63. Anderson, T.W. and H. Rubin (1949), Estimation of the Parameters of a Single Equation in a Complete System of Stochastic Equations, Annals of Mathematical Statistics, pp. 46–63.
Zurück zum Zitat Anderson, T.W. and H. Rubin (1950), The Asymptotic Properties of Estimates of Parameters of in a Complete System of Stochastic Equations, Annals of Mathematical Statistics, pp. 570–582. Anderson, T.W. and H. Rubin (1950), The Asymptotic Properties of Estimates of Parameters of in a Complete System of Stochastic Equations, Annals of Mathematical Statistics, pp. 570–582.
Zurück zum Zitat Balestra, P., & Nerlove, M. (1966). Pooling cross section time series data in the estimation of a dynamic model: The demand for natural gas. Econometrica, 34, 585–612.CrossRef Balestra, P., & Nerlove, M. (1966). Pooling cross section time series data in the estimation of a dynamic model: The demand for natural gas. Econometrica, 34, 585–612.CrossRef
Zurück zum Zitat Bellman, R. G. (1960). Introduction to matrix analysis. New York: McGraw-Hill.MATH Bellman, R. G. (1960). Introduction to matrix analysis. New York: McGraw-Hill.MATH
Zurück zum Zitat Billingsley, P. (1968). Convergence of probability measures. New York: Wiley.MATH Billingsley, P. (1968). Convergence of probability measures. New York: Wiley.MATH
Zurück zum Zitat Billingsley, P. (1995). Probability and measure (3rd ed.). New York: Wiley.MATH Billingsley, P. (1995). Probability and measure (3rd ed.). New York: Wiley.MATH
Zurück zum Zitat Brockwell, P. J., & Davis, R. A. (1991). Time series: Theory and methods (2nd ed.). New York: Springer-Verlag.CrossRef Brockwell, P. J., & Davis, R. A. (1991). Time series: Theory and methods (2nd ed.). New York: Springer-Verlag.CrossRef
Zurück zum Zitat Chow, Y. S., & Teicher, H. (1988). Probability theory (2nd ed.). New York: Springer-Verlag.CrossRefMATH Chow, Y. S., & Teicher, H. (1988). Probability theory (2nd ed.). New York: Springer-Verlag.CrossRefMATH
Zurück zum Zitat Dhrymes, P. J. (1969). Alternative asymptotic tests of significance and related aspects of 2SLS and 3SLS estimated parameters. Review of Economic Studies, 36, 213–226.CrossRef Dhrymes, P. J. (1969). Alternative asymptotic tests of significance and related aspects of 2SLS and 3SLS estimated parameters. Review of Economic Studies, 36, 213–226.CrossRef
Zurück zum Zitat Dhrymes, P. J. (1970). Econometrics: Statistical foundations and applications. New York: Harper and Row; also (1974). New York: Springer-Verlag. Dhrymes, P. J. (1970). Econometrics: Statistical foundations and applications. New York: Harper and Row; also (1974). New York: Springer-Verlag.
Zurück zum Zitat Dhrymes, P. J. (1973). Restricted and Unrestricted Reduced Forms: Asymptotic Distributions and Relative Efficiencies, Econometrica, vol. 41, pp. 119–134.MathSciNetCrossRefMATH Dhrymes, P. J. (1973). Restricted and Unrestricted Reduced Forms: Asymptotic Distributions and Relative Efficiencies, Econometrica, vol. 41, pp. 119–134.MathSciNetCrossRefMATH
Zurück zum Zitat Dhrymes, P. J. (1978). Introductory economics. New York: Springer-Verlag.CrossRef Dhrymes, P. J. (1978). Introductory economics. New York: Springer-Verlag.CrossRef
Zurück zum Zitat Dhrymes, P.J. (1982) Distributed Lags: Problems of Estmation and Formulation (corrected edition) Amsterdam: North Holland Dhrymes, P.J. (1982) Distributed Lags: Problems of Estmation and Formulation (corrected edition) Amsterdam: North Holland
Zurück zum Zitat Dhrymes, P. J. (1989). Topics in advanced econometrics: Probability foundations. New York: Springer-Verlag.CrossRefMATH Dhrymes, P. J. (1989). Topics in advanced econometrics: Probability foundations. New York: Springer-Verlag.CrossRefMATH
Zurück zum Zitat Dhrymes, P. J. (1994). Topics in advanced econometrics: Volume II linear and nonlinear simultaneous equations. New York: Springer-Verlag.CrossRefMATH Dhrymes, P. J. (1994). Topics in advanced econometrics: Volume II linear and nonlinear simultaneous equations. New York: Springer-Verlag.CrossRefMATH
Zurück zum Zitat Hadley, G. (1961). Linear algebra. Reading: Addison-Wesley.MATH Hadley, G. (1961). Linear algebra. Reading: Addison-Wesley.MATH
Zurück zum Zitat Kendall, M. G., & Stuart, A. (1963). The advanced theory of statistics. London: Charles Griffin. Kendall, M. G., & Stuart, A. (1963). The advanced theory of statistics. London: Charles Griffin.
Zurück zum Zitat Kendall M. G., Stuart, A., & Ord, J. K. (1987). Kendall’s advanced theory of statistics. New York: Oxford University Press.MATH Kendall M. G., Stuart, A., & Ord, J. K. (1987). Kendall’s advanced theory of statistics. New York: Oxford University Press.MATH
Zurück zum Zitat Kolassa, J. E. (1997). Series approximation methods in statistics (2nd ed.). New York: Springer-Verlag.CrossRefMATH Kolassa, J. E. (1997). Series approximation methods in statistics (2nd ed.). New York: Springer-Verlag.CrossRefMATH
Zurück zum Zitat Sims, C.A. (1980). Macroeconomics and Reality, Econometrica, vol. 48, pp.1–48.CrossRef Sims, C.A. (1980). Macroeconomics and Reality, Econometrica, vol. 48, pp.1–48.CrossRef
Zurück zum Zitat Stout, W. F. (1974). Almost sure convergence. New York: Academic.MATH Stout, W. F. (1974). Almost sure convergence. New York: Academic.MATH
Zurück zum Zitat Theil, H. (1953). Estimation and Simultaneous Correlation in Complete Equation Systems, mimeograph, The Hague: Central Plan Bureau. Theil, H. (1953). Estimation and Simultaneous Correlation in Complete Equation Systems, mimeograph, The Hague: Central Plan Bureau.
Zurück zum Zitat Theil, H. (1958). Economic Forecasts and Policy, Amsterdam: North Holland. Theil, H. (1958). Economic Forecasts and Policy, Amsterdam: North Holland.
Metadaten
Titel
Vectors and Vector Spaces
verfasst von
Phoebus J. Dhrymes
Copyright-Jahr
2013
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4614-8145-4_1