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Bootstrap Assisted Specification Tests For The Arfima Model

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  • Delgado, Miguel A.
  • Hidalgo, Javier
  • Velasco, Carlos

Abstract

This paper proposes bootstrap assisted specification tests for the autoregressive fractionally integrated moving average model based on the Bartlett T -process with estimated parameters whose limiting distribution under the null depends on the estimated model and the estimation method employed. The computation of the asymptotic critical values is not easy if at all possible under these circumstances. To circumvent this problem Delgado, Hidalgo, and Velasco (2005, Annals of Statistics 33, 2568–2609) proposed an asymptotically pivotal transformation of the T -process with estimated parameters. The aim of this paper is twofold. First, to examine alternative methods based on bootstrap algorithms for estimating the distribution of the test under the null, showing its validity. And second, to study the finite-sample performance of the different alternative procedures via Monte Carlo simulation.

Suggested Citation

  • Delgado, Miguel A. & Hidalgo, Javier & Velasco, Carlos, 2011. "Bootstrap Assisted Specification Tests For The Arfima Model," Econometric Theory, Cambridge University Press, vol. 27(05), pages 1083-1116, October.
  • Handle: RePEc:cup:etheor:v:27:y:2011:i:05:p:1083-1116_00
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    Cited by:

    1. Javier Hidalgo & Myung Hwan Seo, 2013. "Specification For Lattice Processes," STICERD - Econometrics Paper Series 562, Suntory and Toyota International Centres for Economics and Related Disciplines, LSE.
    2. Perera, Indeewara & Koul, Hira L., 2017. "Fitting a two phase threshold multiplicative error model," Journal of Econometrics, Elsevier, vol. 197(2), pages 348-367.

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