Bias Correction of Long-memory Estimator of Functional Time Series via the Prefiltered Sieve Bootstrap
通过预过滤筛式自助法校正函数型时间序列长记忆估计偏差
We investigate a bias correction procedure based on sieve bootstrapping to estimate the long-memory parameter d in stationary or nonstationary fractionally integrated processes. The resampling method implements a sieve bootstrap method on data prefiltered by a preliminary estimate of the long-memory parameter. For the initial estimate, we recommend the local polynomial Whittle with noise (LPWN) estimator in Frederiksen et al. (2012) to reduce bias, especially in the presence…