Testing the martingale hypothesis

Palgrave Handbook of Econometrics: Volume 2: Applied Econometrics

Volumn , Issue , 2009, Pages 972-1003

  Escanciano, J Carlos ^a   Lobato, Ignacio N ^b  

^a INDIANA UNIVERSITY   (United States)

^b INSTITUTO TECNOLÓGICO AUTÓNOMO DE MÉXICO   (Mexico)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84999541705     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1057/9780230244405_20     Document Type: Chapter

References (112)

1. Andrews, D.W.K. and W. Ploberger (1996) Testing for serial correlation against an ARMA (1, 1) process. Journal of the American Statistical Association 91, 1331-42.
2. Barnett, W. and A. Serletis (2000) Martingales, nonlinearity, and chaos. Journal of Economics. Dynamics and Control 24, 703-24.
3. Bartlett, M.S. (1955) An Introduction to Stochastic Processes with Special Reference to Methods and Applications. London: Cambridge University Press.
4. Bekaert, G. and R. Hodrick (1992) Characterizing predictable components in excess returns on equity and foreign exchange markets. Journal of Finance 47, 467-509.
5. Bera, A.K. and M.L. Higgins (1993) ARCH models: properties, estimation and testing. Journal of Economic Surveys 7, 305-62.
6. Bera, A.K. and M.L. Higgins (1997)ARCHand bilinearity as competing models for nonlinear dependence. Journal of Business and Economic Statistics 15, 43-51.
7. Beran, J. (1992) A goodness-of-fit test for time series with long range dependence. Journal of the Royal Statistical Society, Series B 54, 749-60.
8. Bierens, H.J. (1982) Consistent model specification tests. Journal of Econometrics 20, 105-34.
9. Bierens, H.J. (1984) Model specification testing of time series regressions. Journal of Econometrics 26, 323-53.
10. Bierens, H.J. (1990) A consistent conditional moment test of functional form. Econometrica 58, 1443-58.
11. Bierens, H.J. andW. Ploberger (1997) Asymptotic theory of integrated conditional moment tests. Econometrica 65, 1129-51.
12. Bollerslev, T. (1987) A conditionally heteroskedastic time series model for speculative prices and rates of return. Review of Economics and Statistics 69, 542-47.
13. Bollerslev, T. and J.M. Wooldridge (1992) Quasi-maximum likelihood estimation and inference in dynamic models with time-varying covariances. Econometric Reviews 11, 143-79.
14. Box, G.E.P. and D.A. Pierce (1970) Distribution of residual autocorrelations in autoregressive integrated moving average time series models. Journal of the American Statistical Association 65, 1509-26.
15. Brillinger, D.R. (1981) Time Series: Data Analysis and Theory. San Francisco: Holden Day.
16. Campbell, J.Y., A.W. Lo and A.C. MacKinlay (1997) The Econometrics of Financial Markets. Princeton: Princeton University Press.
17. Carrasco, M., J.P. Florens and E. Renault (2007) Linear inverse problems in structural econometrics. In J.J. Heckman and E.E. Leamer (eds.), Handbook of Econometrics, Volume 6. Amsterdam: North-Holland.
18. Chan, K.S. and H. Tong (2001) Chaos: A Statistical Perspective. New York: Springer.
19. Chen, H. and J.P. Romano (1999) Bootstrap-assisted goodness-of-fit tests in the frequency domain. Journal of Time Series Analysis 20, 619-54.
20. Clark, T.E. and K.D. West (2006) Using out-of-sample mean squared prediction errors to test the martingale difference hypothesis. Journal of Econometrics 135, 155-86.
21. Cochrane, J.H. (1988) How big is the random walk in GNP? Journal of Political Economy 96, 893-920.
22. Cochrane, J.H. (2005) Asset Pricing. Princeton: Princeton University Press.
23. Cumby, R.E. and J. Huizinga (1992) Testing the autocorrelation structure of disturbances in ordinary least squares and instrumental variable regressions. Econometrica 60, 185-96.
24. Dahlhaus, R. (1985) On the asymptotic distribution of Bartlett’s Up-statistic. Journal of Time Series Analysis 6, 213-27.
25. Dahlhaus, R. and D. Janas (1996) A frequency domain bootstrap for ratio statistics in time series analysis. Annals of Statistics 24, 1934-65.
26. de Jong, R.M. (1996) The Bierens’ tests under data dependence. Journal of Econometrics 72, 1-32.
27. Delgado, M.A., J. Hidalgo and C. Velasco (2005) Distribution free goodness-of-fit tests for linear models. Annals of Statistics 33, 2568-609.
28. Delgado, M.A. and C. Velasco (2007) A new class of distribution-free tests for time series models specification. Preprint.
29. Deo, R.S. (2000) Spectral tests of the martingale hypothesis under conditional heteroscedasticity. Journal of Econometrics 99, 291-315.
30. Deo, R.S. and W. Chen (2000) On the integral of the squared periodogram. Stochastic Processes and their Applications 85, 159-76.
31. Diebold, F.X. (1986) Testing for serial correlation in the presence of heteroskedasticity. Proceedings of the American Statistical Association, Business and Economics Statistics Section, 323-8.
32. Diebold, F.X and J.A. Nason (1990) Nonparametric exchange rate predictions? Journal of International Economics 28, 315-32.
33. Dominguez, M. and I.N. Lobato (2003) Testing the martingale difference hypothesis. Econometric Reviews 22, 351-77.
34. Durbin, J. and G.S. Watson (1950) Testing for serial correlation in least squares regression: I. Biometrika 37, 409-28.
35. Durlauf, S.N. (1991) Spectral based testing of the martingale hypothesis. Journal of Econometrics 50, 355-76.
36. Engle, R.F. and G. González-Rivera (1991) Semiparametric ARCH models. Journal of Business & Economic Statistics 9, 345-59.
37. Escanciano, J.C. (2007a) Model checks using residual marked empirical processes. Statistica Sinica 17, 115-38.
38. Escanciano, J.C. (2007b) Weak convergence of non-stationary multivariate marked processes with applications to martingale testing. Journal of Multivariate Analysis 98, 1321-36.
39. Escanciano, J.C. (2008) On the lack of power of omnibus specification tests. Econometric Theory. Forthcoming.
40. Escanciano, J.C. and I.N. Lobato (2007) Data-driven portmanteau tests for testing for serial correlation. Preprint.
41. Escanciano, J.C. and S. Mayoral (2007) Data-driven smooth tests for the martingale difference hypothesis. Preprint.
42. Escanciano, J.C. and C. Velasco. (2006a) Generalized spectral tests for the martingale difference hypothesis. Journal of Econometrics 134, 151-85.
43. Escanciano, J.C. and C. Velasco. (2006b) Testing the martingale difference hypothesis using integrated regression functions. Computational Statistics & Data Analysis 51, 2278-94.
44. Fama, E.F. (1991) Efficient capital markets: a review of theory and empirical work. Journal of Finance 25, 383-417.
45. Fan, J. and L. Huang (2001) Goodness-of-fit tests for parametric regression models. Journal of the American Statistical Association 96, 640-52.
46. Ferreira, E. andW. Stute (2004) Testing for differences between conditional means in a time series context. Journal of the American Statistical Association 99, 169-74.
47. Fong, W.M., S.K. Koh and S. Ouliaris (1997) Joint variance ratio test of the martingale hypothesis for exchange rates. Journal of Business and Economics Statistics 15, 51-9.
48. Fong, W.M. and S. Ouliaris (1995) Spectral tests of the martingale hypothesis for exchange rates. Journal of Applied Econometrics 10, 255-71.
49. Francq, C., R. Roy and J.-M. Zakoïan (2005) Diagnostic checking in ARMA models with uncorrelated errors. Journal of the American Statistical Association 13, 532-44.
50. Franke, J. and W. Hardle (1992) On bootstrapping kernel spectral estimates. Annals of Statistics 20, 121-45.
51. González, M. and I.N. Lobato (2003) Contrastes de autocorrelación. Gaceta de Economía 14, 41-57.
52. Grenander, U. and M. Rosenblatt (1957) Statistical Analysis of Stationary Time Series. New York: Chelsea Publishing Company.
53. Guay, A. and E. Guerre (2006) A Data-driven nonparametric specification test for dynamic regression models. Econometric Theory 22, 543-86.
54. Guerre, E. and P. Lavergne (2005) Rate-optimal data-driven specification testing for regression models. Annals of Statistics 33, 840-70.
55. Guo, B. and P.C.B. Phillips (2001) Testing for autocorrelation and unit roots in the presence of conditional heteroskedasticity of unknown form. New Haven: Cowles Foundation for Research in Economics, Yale University.
56. Hall, R.E. (1978) Stochastic implications of the life cycle-permanent income hypothesis: theory and evidence. Journal of Political Economy 86, 971-87.
57. Hart, J.D. (1997) Nonparametric smoothing and Lack-of-Fit Tests. New York: Springer-Verlag.
58. Hinich, M. and D. Patterson (1992) A new diagnostic test of model inadequacy which uses the martingale difference criterion. Journal of Time Series Analysis 13, 233-52.
59. Hong, Y. (1996) Consistent testing for serial correlation of unknown form. Econometrica 64, 837-64.
60. Hong, Y. (1999) Hypothesis testing in time series via the empirical characteristic function: a generalized spectral density approach. Journal of the American Statistical Association 84, 1201-20.
61. Hong, Y. and T.H. Lee (2003) Inference on predictability of foreign exchange rate changes via generalized spectrum and nonlinear time series models. Review of Economics and Statistics 85, 1048-62.
62. Hong, Y. and Y.J. Lee (2005) Generalized spectral tests for conditional mean models in time series with conditional heteroskedasticity of unknown form. Review of Economic Studies 43, 499-541.
63. Horowitz, J. (2006) Testing a parametric model against a nonparametric alternative with identification through instrumental variables. Econometrica 74, 521-38.
64. Horowitz, J.L. and W. Härdle (1994) Testing a parametric model against a semiparametric alternative. Econometric Theory 10, 821-48.
65. Horowitz, J., I.N. Lobato, J. Nankervis and N.E. Savin (2006) Bootstrapping the Box-Pierce Q test: a robust test of uncorrelatedness. Journal of Econometrics 133, 841-62.
66. Horowitz, J.L. and V.G. Spokoiny (2001) An adaptive, rate-optimal test of a parametric mean-regression model against a nonparametric alternative. Econometrica 69, 599-632.
67. Hsieh, D.A. (1988) Statistical properties of daily foreign exchange rates. Journal of International Economics 24, 129-45.
68. Hsieh, D.A. (1989) Testing for nonlinear dependence in daily foreign exchange rates. Journal of Business 62, 339-68.
69. Hsieh, D.A. (1993) Implication of nonlinear dynamics for financial risk management. Journal of Finance and Quantitative Analysis 28, 41-64.
70. Inglot, T. and T. Ledwina (2006) Data Driven Score Tests of Fit for Semiparametric Homoscedastic Linear Regression Model. Preprint 665, Institute of Mathematics, Polish Academy of Sciences.
71. Inoue, A. and L. Kilian. (2004) In-sample or out-of-sample tests of predictability: which one should we use? Econometric Reviews 23(4), 371-402.
72. Janssen, A. (2000) Global power functions of goodness of fit tests. Annals of Statistics 28, 239-53.
73. Khmaladze, E.V. (1981) Martingale approach in the theory of goodness-of-fit tests. Theory of Probability and its Applications 26, 240-57.
74. Koul, H.L. and W. Stute (1999) Nonparametric model checks for time series. Annals of Statistics 27, 204-36.
75. Kuan, C.-M. and W. Lee (2004) A new test of the martingale difference hypothesis. Studies in Nonlinear Dynamics & Econometrics 8, Article 1.
76. Laudrup N. and M. Jansson (2006) Improving size and power in unit root testing. In T.C. Mills and K.D. Patterson (eds.), Palgrave Handbook of Econometrics. Volume I: Econometric Theory, Ch. 7, pp. 252-77. Basingstoke: Palgrave Macmillan.
77. Lavergne, P. and V. Patilea (2007) One for all and all for one: dimension reduction for regression checks. Journal of Econometrics. Forthcoming.
78. LeBaron, B. (1999) Technical trading rule profitability and foreign exchange intervention. Journal of International Economics 49, 125-43.
79. LeRoy, S.F. (1989) Efficient capital markets and martingales. Journal of Economic Literature 27, 39-44.
80. Levich, R. and L. Thomas (1993) The significance of technical trading rule profits in the foreign exchange market: a bootstrap approach. Journal of International Money and Finance 12, 451-74.
81. Linton, O. and Y.-J. Whang (2007) The quantilogram: with an application to evaluating directional predictability. Journal of Econometrics 141, 250-82.
82. Liu, C.Y. and He, J. (1991) A variance ratio test for random walks in foreign exchange rates. Journal of Finance 46, 773-85.
83. Liu, R.Y. (1988) Bootstrap procedures under some non-i.i.d. models. Annals of Statistics 16, 1696-708.
84. Ljung, G.M. and G.E.P. Box (1978) On a measure of lack of fit in time series models. Biometrika 65, 297-303.
85. Lo, A.W. (1997) Market Efficiency: Stock Market Behaviour in Theory and Practice, Volumes I and II. Cheltenham: Edward Elgar.
86. Lo, A.W. and A.C. MacKinlay (1989) The size and power of the variance ratio test in finite samples: a Monte Carlo investigation. Journal of Econometrics 40, 203-38.
87. Lobato, I.N. (2001) Testing that a dependent process is uncorrelated. Journal of the American Statistical Association 96, 1066-76.
88. Lobato, I.N., J.C. Nankervis and N.E. Savin (2001) Testing for autocorrelation using a modified Box-Pierce Q test. International Economic Review 42, 187-205.
89. Lobato, I.N., J.C. Nankervis and N.E. Savin (2002) Testing for zero autocorrelation in the presence of statistical dependence. Econometric Theory 18, 730-43.
90. Lobato, I.N. and C. Velasco (2004) A general test for white noise. Preprint.
91. McCurdy, T.H. and I.G. Morgan (1987) Testing of the martingale hypothesis for foreign currency futures with time-varying volatility. International Journal of Forecasting 3, 131-48.
92. McCurdy, T.H. and I.G. Morgan (1988) Testing of the martingale hypothesis in Deutsche Mark futures with model specifying the form of heteroskedasticity. Journal of Applied Econometrics 3, 187-202.
93. Meese, R.A. and K. Rogoff. (1983a) Empirical exchange rates models of the seventies. Journal of International Economics 14, 3-24.
94. Meese, R.A. and K. Rogoff (1983b) The out of sample failure of empirical exchange rates models: sampling error or misspecification? In J. Frenkel (ed.), Exchange Rates and International Economics. Chicago: University of Chicago Press.
95. Milhøj, A. (1981) A test of fit in time series models. Biometrika 68, 177-87.
96. Nankervis, J.C. and N.E. Savin (2007) Testing for serial correlation: generalized Andrews-Ploberger tests. Preprint.
97. Neyman, J. (1937) Smooth test for goodness of fit. Scandinavian Aktuarietidskr 20, 149-99.
98. Paparoditis, E. (2000) Spectral density based goodness-of-fit tests for time series models. Scandinavian Journal of Statistics 27, 143-76.
99. Park, J.Y. and Y.J. Whang (2005) Testing for the martingale hypothesis. Studies in Nonlinear Dynamics and Econometrics 2, Article 2.
100. Robinson, P.M. (1991) Testing for strong serial correlation and dynamic conditional heteroskedasticity in multiple regression. Journal of Econometrics 47, 67-84.
101. Romano, J.L. and L.A. Thombs (1996) Inference for autocorrelations under weak assumptions. Journal of the American Statistical Association 91, 590-600.
102. Shorack, G. and J.Wellner (1986) Empirical Processes with Applications to Statistics. New York: Wiley.
103. Stinchcombe, M. and H. White (1998) Consistent specification testing with nuisance parameters present only under the alternative. Econometric Theory 14, 295-325.
104. Stute, W. (1997) Nonparametric model checks for regression. Annals of Statistics 25, 613-41.
105. Stute, W., W.G. González-Manteiga and M. Presedo-Quindmil (1998) Bootstrap approximations in model checks for regression. Journal of the American Statistical Association 83, 141-9.
106. Sweeney, R.J. (1986) Beating the foreign exchange market. Journal of Finance 41, 163-82.
107. Weiss, A. (1986) ARCH and bilinear time series models: comparison and combination. Journal of Business and Economic Statistics 4, 59-70.
108. Wooldridge, J. (1992) A test for functional form against nonparametric alternatives. Econometric Theory 8, 452-75.
109. Wu, C.F.J. (1986) Jacknife, bootstrap and other resampling methods in regression analysis with discussion. Annals of Statistics 14, 1261-350.
110. Yatchew, A.J. (1992) Nonparametric regression tests based on least squares. Econometric Theory 8, 435-51.
111. Yule, G.U. (1926) Why do we sometimes get nonsense correlations between time-series? A study in sampling and the nature of time-series. Journal of the Royal Society 89, 2-9, 30-41.
112. Zheng, X. (1996) A consistent test of functional form via nonparametric estimation technique. Journal of Econometrics 75, 263-89.