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Model checks of higher order time series

Author

Listed:
  • Stute, W.
  • Presedo Quindimil, M.
  • González Manteiga, W.
  • Koul, H.L.

Abstract

In this paper we propose and study nonparametric tests for the validity of higher order time-series models. These are based on properly defined residual cusums. In a simulation study it is shown that these tests outperform others when the time series has a dimension reducing character and the dimension becomes large.

Suggested Citation

  • Stute, W. & Presedo Quindimil, M. & González Manteiga, W. & Koul, H.L., 2006. "Model checks of higher order time series," Statistics & Probability Letters, Elsevier, vol. 76(13), pages 1385-1396, July.
    • Handle: RePEc:eee:stapro:v:76:y:2006:i:13:p:1385-1396
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    References listed on IDEAS

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    1. Manuel Dominguez & Ignacio Lobato, 2003. "Testing the Martingale Difference Hypothesis," Econometric Reviews, Taylor & Francis Journals, vol. 22(4), pages 351-377.
    2. D. Y. Lin & L. J. Wei & Z. Ying, 2002. "Model-Checking Techniques Based on Cumulative Residuals," Biometrics, The International Biometric Society, vol. 58(1), pages 1-12, March.
    3. Winfried Stute & Li‐Xing Zhu, 2002. "Model Checks for Generalized Linear Models," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 29(3), pages 535-545, September.
    4. Jean‐Michel Poggi & Bruno Portier, 1997. "A Test of Linearity for Functional Autoregressive Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 18(6), pages 615-639, November.
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    Cited by:

    1. Herman J. Bierens & Li Wang, 2017. "Weighted simulated integrated conditional moment tests for parametric conditional distributions of stationary time series processes," Econometric Reviews, Taylor & Francis Journals, vol. 36(1-3), pages 103-135, March.
    2. Wenceslao González-Manteiga & Rosa Crujeiras, 2013. "An updated review of Goodness-of-Fit tests for regression models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(3), pages 361-411, September.
    3. Escanciano, Juan Carlos & Mayoral, Silvia, 2010. "Data-driven smooth tests for the martingale difference hypothesis," Computational Statistics & Data Analysis, Elsevier, vol. 54(8), pages 1983-1998, August.
    4. Joseph Ngatchou-Wandji & Madan L. Puri & Michel Harel & Echarif Elharfaoui, 2019. "Testing nonstationary and absolutely regular nonlinear time series models," Statistical Inference for Stochastic Processes, Springer, vol. 22(3), pages 557-593, October.
    5. Wenceslao González-Manteiga & Rosa Crujeiras, 2013. "Rejoinder on: An updated review of Goodness-of-Fit tests for regression models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 22(3), pages 442-447, September.
    6. Qiang Xia & Kejun He & Cuizhen Niu, 2017. "A Model-Adaptive Test for Parametric Single-Index Time Series Models," Journal of Time Series Analysis, Wiley Blackwell, vol. 38(6), pages 981-999, November.

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