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Simulated evidence on the distribution of the standardized one-step-ahead prediction errors in ARCH processes

Author

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  • Stavros Degiannakis
  • Evdokia Xekalaki

Abstract

In statistical modelling contexts, the use of one-step-ahead prediction errors for testing hypotheses on the forecasting ability of an assumed model has been widely considered. Quite often, the testing procedure requires independence in a sequence of recursive standardized prediction errors, which cannot always be readily deduced particularly in the case of econometric modelling. In this paper, the results of a series of Monte Carlo simulations reveal that independence can be assumed to hold.

Suggested Citation

  • Stavros Degiannakis & Evdokia Xekalaki, 2007. "Simulated evidence on the distribution of the standardized one-step-ahead prediction errors in ARCH processes," Applied Financial Economics Letters, Taylor & Francis Journals, vol. 3(1), pages 31-37.
    • Handle: RePEc:taf:raflxx:v:3:y:2007:i:1:p:31-37
    DOI: 10.1080/17446540600706833
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    References listed on IDEAS

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    1. Nelson, Daniel B, 1991. "Conditional Heteroskedasticity in Asset Returns: A New Approach," Econometrica, Econometric Society, vol. 59(2), pages 347-370, March.
    2. Stavros Degiannakis & Evdokia Xekalaki, 2005. "Predictability and model selection in the context of ARCH models," Applied Stochastic Models in Business and Industry, John Wiley & Sons, vol. 21(1), pages 55-82, January.
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    More about this item

    JEL classification:

    • C32 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables - - - Time-Series Models; Dynamic Quantile Regressions; Dynamic Treatment Effect Models; Diffusion Processes; State Space Models
    • C40 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - General
    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods

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