Skip to main content
Erschienen in: Empirical Economics 4/2020

26.11.2018

Demand systems with heteroscedastic disturbances

verfasst von: Apostolos Serletis, Libo Xu

Erschienen in: Empirical Economics | Ausgabe 4/2020

Einloggen

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

search-config
loading …

Abstract

We address the estimation of singular demand systems with heteroscedastic disturbances. We relax the homoscedasticity assumption and instead assume that the covariance matrix of the errors of the demand system is time varying. In doing so, we consider the VECH and BEKK parameterizations of the variance model. We analytically prove the invariance of the maximum likelihood estimator with respect to the choice of the good deleted from a singular demand system and also prove a number of important practical results regarding how to recover the mean and variance equation parameters (and their standard errors) of the full demand system from those of any subsystem obtained by deleting an arbitrary good.

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

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!

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!

Anhänge
Nur mit Berechtigung zugänglich
Literatur
Zurück zum Zitat Banks J, Blundell R, Lewbel A (1997) Quadratic Engel curves and consumer demand. Rev Econ Stat 79:527–539CrossRef Banks J, Blundell R, Lewbel A (1997) Quadratic Engel curves and consumer demand. Rev Econ Stat 79:527–539CrossRef
Zurück zum Zitat Barnett WA (1983) New indices of money supply and the flexible Laurent demand system. J Bus Econ Stat 1:7–23 Barnett WA (1983) New indices of money supply and the flexible Laurent demand system. J Bus Econ Stat 1:7–23
Zurück zum Zitat Barnett WA (1985) The minflex Laurent translog flexible functional form. J Econom 30:33–44CrossRef Barnett WA (1985) The minflex Laurent translog flexible functional form. J Econom 30:33–44CrossRef
Zurück zum Zitat Barnett WA (2002) Tastes and technology: curvature is not sufficient for regularity. J Econom 108:199–202CrossRef Barnett WA (2002) Tastes and technology: curvature is not sufficient for regularity. J Econom 108:199–202CrossRef
Zurück zum Zitat Barnett WA, Jonas A (1983) The Müntz Szatz demand system: an application of a globally well behaved series expansion. Econ Lett 11:337–342CrossRef Barnett WA, Jonas A (1983) The Müntz Szatz demand system: an application of a globally well behaved series expansion. Econ Lett 11:337–342CrossRef
Zurück zum Zitat Barnett WA, Lee YW (1985) The global properties of the minflex Laurent, generalized Leontief, and translog flexible functional forms. Econometrica 53:1421–1437CrossRef Barnett WA, Lee YW (1985) The global properties of the minflex Laurent, generalized Leontief, and translog flexible functional forms. Econometrica 53:1421–1437CrossRef
Zurück zum Zitat Barnett WA, Serletis A (2008) Consumer preferences and demand systems. J Econom 147:210–224CrossRef Barnett WA, Serletis A (2008) Consumer preferences and demand systems. J Econom 147:210–224CrossRef
Zurück zum Zitat Barnett WA, Serletis A (2009) Measuring consumer preferences and estimating demand systems. In: Slottje D (ed) Quantifying consumer preferences. Contributions to economic analysis. Bingley, Emerald, pp 1–35 Barnett WA, Serletis A (2009) Measuring consumer preferences and estimating demand systems. In: Slottje D (ed) Quantifying consumer preferences. Contributions to economic analysis. Bingley, Emerald, pp 1–35
Zurück zum Zitat Barnett WA, Liu J, Mattson RS, van den Noort J (2013) The new CFS Divisia monetary aggregates: design, construction, and data sources. Open Econ Rev 24:101–124CrossRef Barnett WA, Liu J, Mattson RS, van den Noort J (2013) The new CFS Divisia monetary aggregates: design, construction, and data sources. Open Econ Rev 24:101–124CrossRef
Zurück zum Zitat Barten AP (1969) Maximum likelihood estimation of a complete system of demand equations. Eur Econ Rev 1:7–73CrossRef Barten AP (1969) Maximum likelihood estimation of a complete system of demand equations. Eur Econ Rev 1:7–73CrossRef
Zurück zum Zitat Berndt ER, Savin NE (1975) Estimation and hypothesis testing in singular equation systems with autoregressive disturbances. Econometrica 43:937–957CrossRef Berndt ER, Savin NE (1975) Estimation and hypothesis testing in singular equation systems with autoregressive disturbances. Econometrica 43:937–957CrossRef
Zurück zum Zitat Bewley R (1986) Allocation models: specification, estimation and applications. Ballinger, Cambridge Bewley R (1986) Allocation models: specification, estimation and applications. Ballinger, Cambridge
Zurück zum Zitat Bollerslev T, Engle RF, Wooldridge J (1988) A capital asset pricing model with time varying covariances. J Polit Econ 96:143–172CrossRef Bollerslev T, Engle RF, Wooldridge J (1988) A capital asset pricing model with time varying covariances. J Polit Econ 96:143–172CrossRef
Zurück zum Zitat Blundell R (1988) Consumer behaviour: theory and empirical evidence—a survey. Econ J 98:16–65CrossRef Blundell R (1988) Consumer behaviour: theory and empirical evidence—a survey. Econ J 98:16–65CrossRef
Zurück zum Zitat Brown JAC, Deaton AS (1972) Models of consumer behaviour: a survey. Econ J 82:1145–236CrossRef Brown JAC, Deaton AS (1972) Models of consumer behaviour: a survey. Econ J 82:1145–236CrossRef
Zurück zum Zitat Christensen LR, Jorgenson DW, Lau LJ (1975) Transcendental logarithmic utility functions. Am Econ Rev 65:367–383 Christensen LR, Jorgenson DW, Lau LJ (1975) Transcendental logarithmic utility functions. Am Econ Rev 65:367–383
Zurück zum Zitat Deaton AS, Muellbauer JN (1980) An almost ideal demand system. Am Econ Rev 70:312–326 Deaton AS, Muellbauer JN (1980) An almost ideal demand system. Am Econ Rev 70:312–326
Zurück zum Zitat Diewert WE (1971) An application of the Shephard duality theorem: a generalized Leontief production function. J Polit Econ 79:481–507CrossRef Diewert WE (1971) An application of the Shephard duality theorem: a generalized Leontief production function. J Polit Econ 79:481–507CrossRef
Zurück zum Zitat Diewert WE (1973) Functional forms for profit and transformation functions. J Econ Theory 6:284–316CrossRef Diewert WE (1973) Functional forms for profit and transformation functions. J Econ Theory 6:284–316CrossRef
Zurück zum Zitat Diewert WE, Wales TJ (1988) Normalized quadratic systems of consumer demand functions. J Bus Econ Stat 6:303–312 Diewert WE, Wales TJ (1988) Normalized quadratic systems of consumer demand functions. J Bus Econ Stat 6:303–312
Zurück zum Zitat Engle RF, Kroner KF (1995) Multivariate simultaneous generalized ARCH. Econom Theory 11:122–150CrossRef Engle RF, Kroner KF (1995) Multivariate simultaneous generalized ARCH. Econom Theory 11:122–150CrossRef
Zurück zum Zitat Gallant AR (1981) On the bias of flexible functional forms and an essentially unbiased form: the Fourier functional form. J Econom 15:211–245CrossRef Gallant AR (1981) On the bias of flexible functional forms and an essentially unbiased form: the Fourier functional form. J Econom 15:211–245CrossRef
Zurück zum Zitat Lewbel A (1997) Consumer demand systems and household equivalence scales. In: Pesaran MH, Schmidt P (eds) Handbook of applied econometrics, vol 2. Blackwell Publishers, Oxford Lewbel A (1997) Consumer demand systems and household equivalence scales. In: Pesaran MH, Schmidt P (eds) Handbook of applied econometrics, vol 2. Blackwell Publishers, Oxford
Zurück zum Zitat McLaren KR (1990) A variant on the arguments for the invariance of estimators in a singular system of equations. Econom Rev 9:91–102CrossRef McLaren KR (1990) A variant on the arguments for the invariance of estimators in a singular system of equations. Econom Rev 9:91–102CrossRef
Zurück zum Zitat Powell A (1969) Aitken estimators as a tool in allocating predetermined aggregates. J Am Stat Assoc 64:913–922CrossRef Powell A (1969) Aitken estimators as a tool in allocating predetermined aggregates. J Am Stat Assoc 64:913–922CrossRef
Zurück zum Zitat Serletis A, Isakin M (2017) Stochastic volatility demand systems. Econom Rev 36:1111–1122CrossRef Serletis A, Isakin M (2017) Stochastic volatility demand systems. Econom Rev 36:1111–1122CrossRef
Metadaten
Titel
Demand systems with heteroscedastic disturbances
verfasst von
Apostolos Serletis
Libo Xu
Publikationsdatum
26.11.2018
Verlag
Springer Berlin Heidelberg
Erschienen in
Empirical Economics / Ausgabe 4/2020
Print ISSN: 0377-7332
Elektronische ISSN: 1435-8921
DOI
https://doi.org/10.1007/s00181-018-1599-0

Weitere Artikel der Ausgabe 4/2020

Empirical Economics 4/2020 Zur Ausgabe