Properties of the Sieve Bootstrap for Fractionally Integrated and Non-Invertible Processes

Donald Poskitt

No 12/06, Monash Econometrics and Business Statistics Working Papers from Monash University, Department of Econometrics and Business Statistics

Abstract: In this paper we will investigate the consequences of applying the sieve bootstrap under regularity conditions that are sufficiently general to encompass both fractionally integrated and non-invertible processes. The sieve bootstrap is obtained by approximating the data generating process by an autoregression whose order h increases with the sample size T. The sieve bootstrap may be particularly useful in the analysis of fractionally integrated processes since the statistics of interest can often be non-pivotal with distributions that depend on the fractional index d. The validity of the sieve bootstrap is established and it is shown that when the sieve bootstrap is used to approximate the distribution of a general class of statistics admitting an Edgeworth expansion then the error rate achieved is of order O ( T β+d-1 ), for any β > 0. Practical implementation of the sieve bootstrap is considered and the results are illustrated using a canonical example.

Keywords: Autoregressive approximation; fractional process; non-invertibility; rate of convergence; sieve bootstrap. (search for similar items in EconPapers)
JEL-codes: C15 C22 (search for similar items in EconPapers)
Pages: 27 pages
Date: 2006-07
New Economics Papers: this item is included in nep-ecm and nep-ets
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Citations: View citations in EconPapers (9)

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Related works:
Journal Article: Properties of the Sieve Bootstrap for Fractionally Integrated and Non‐Invertible Processes (2008)
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