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Aplicabilidad del test BDS al análisis de series económicas/Aplicadility of las test to economic time series analysis

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Author Info
MATILLA-GARCÍA, M. () (Facultad de CC Económicas UNED. Dpto. Economía Aplicada Cuantitativa I. Calle Senda del Rey 11. CP 28040, Madrid.)
RODRÍGUEZ RUIZ, J. () (Facultad de CC Económicas UNED. Dpto. Economía Aplicada Cuantitativa I. Calle Senda del Rey 11. CP 28040, Madrid.)
Abstract

El test BDS de Brock, Dechert y Scheinkman es un test asintótico que proporciona una herramienta no paramétrica para contrastar la hipótesis nula de series i.i.d., con potencia, en teoría, sobre todas las alternativas restantes (lineales o no lineales, estocásticas o deterministas). Una versión del BDS ha sido implementada en E-views, motivo por el que la herramienta está ganando difusión dentro del análisis econométrico. Desafortunadamente, con anterioridad a esta reciente implementación y aun en la actualidad, se han observado ciertas deficiencias en la potencia y tamaño del test para muestras finitas; la sensibilidad del test ante ciertos parámetros del mismo y en el modo de evaluar los resultados; etc. Estas deficiencias, y otras nuevas, son expuestas y analizadas ofreciendo explicaciones cuando esto es posible. The BDS test (Brock, Dechert and Sheinkman) is an asymptotic test that provided a nonparametric tool for testing the null of i.i.d, with power against a broad class of alternative hypothesis (linear or nonlinear, stochastic or deterministic). Recently, a new version of BDS test has been implemented on E-views, hence the tool will be widely disseminated among econometricians. Unfortunately, certain limitations have been detected for BDS test. This limitations refer to: size and power of the test, sensitivity with respect to free parameters and the evaluation process of the obtained results. All these deficiencies are deeply commented in this paper.

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Article provided by Estudios de Economía Aplicada in its journal Estudios de Economía Aplicada.

Volume (Year): 23 (2005)
Issue (Month): (Agosto)
Pages: 507-519
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Handle: RePEc:lrk:eeaart:23_2_13

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Related research
Keywords: BDS; Caos y No-linealidad/BDS; Ahaos; Nonlineanty.;

Find related papers by JEL classification:
C12 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Hypothesis Testing
C15 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: General - - - Statistical Simulation Methods
C22 - Mathematical and Quantitative Methods - - Single Equation Models; Single Variables - - - Time-Series Models; Dynamic Quantile Regressions

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  1. Barnett, William A. & Gallant, A. Ronald & Hinich, Melvin J. & Jungeilges, Jochen A. & Kaplan, Daniel T. & Jensen, Mark J., 1997. "A single-blind controlled competition among tests for nonlinearity and chaos," Journal of Econometrics, Elsevier, vol. 82(1), pages 157-192. [Downloadable!] (restricted)
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  2. Jorge Belaire-Franch & Dulce Contreras, 2002. "How to compute the BDS test: a software comparison," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 17(6), pages 691-699. [Downloadable!]
  3. Ramsey, James B & Sayers, Chera L & Rothman, Philip, 1990. "The Statistical Properties of Dimension Calculations Using Small Data Sets: Some Economic Applications," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 31(4), pages 991-1020, November. [Downloadable!] (restricted)
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  4. W. A. Broock & J. A. Scheinkman & W. D. Dechert & B. LeBaron, 1996. "A test for independence based on the correlation dimension," Econometric Reviews, Taylor and Francis Journals, vol. 15(3), pages 197-235. [Downloadable!] (restricted)
  5. Hsieh, David A, 1991. " Chaos and Nonlinear Dynamics: Application to Financial Markets," Journal of Finance, American Finance Association, vol. 46(5), pages 1839-77, December. [Downloadable!] (restricted)
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