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Activity Number: 503 - SPAAC Poster Competition
Type: Topic Contributed
Date/Time: Wednesday, August 2, 2017 : 10:30 AM to 12:20 PM
Sponsor: Scientific and Public Affairs Advisory Committee
Abstract #323500
Title: R/S-Bootstrapping Test for Fractional Integration
Author(s): Yixun Xing* and Wayne A. Woodward
Companies: Southern Methodist University and Southern Methodist University
Keywords: Long memory ; R/S-type statistic ; Bootstrap ; Time series
Abstract:

The autocorrelation of long memory processes decays much slower than that of short memory processes, e.g. autoregressive processes. Fractional integration (FI) is a basic model that shows long memory behavior. To detect the FI processes, the R/S-type statistic has been designed by Hurst (1951) and Lo (1991) and used by Giraitis et al. (2003). However, the power tends to be insufficient when the size is controlled. The authors investigate a parametric bootstrap procedure proposed by Woodward et al. (1998) based on the R/S-type statistics for testing for long memory of the FI type. The simulation results show improvements in size and power compared with tests used by Giraitis et al. (2003) which were based on the asymptotic distribution of the R/S-type statistics.


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