fdGPH: Geweke and Porter-Hudak Estimator for ARFIMA(p,d,q)

In fracdiff: Fractionally Differenced ARIMA aka ARFIMA(P,d,q) Models

Geweke and Porter-Hudak Estimator for ARFIMA(p,d,q)

Description

Estimate the fractional (or “memory”) parameter d in the ARFIMA(p,d,q) model by the method of Geweke and Porter-Hudak (GPH). The GPH estimator is based on the regression equation using the periodogram function as an estimate of the spectral density.

Usage

fdGPH(x, bandw.exp = 0.5)

Arguments

x	univariate time series
bandw.exp	the bandwidth used in the regression equation

Details

The function also provides the asymptotic standard deviation and the standard error deviation of the fractional estimator.

The bandwidth is bw = trunc(n ^ bandw.exp), where 0 < bandw.exp < 1 and n is the sample size. Default bandw.exp = 0.5.

Value

d	GPH estimate
sd.as	asymptotic standard deviation
sd.reg	standard error deviation

Author(s)

Valderio A. Reisen and Artur J. Lemonte

References

see those in fdSperio.

See Also

fdSperio, fracdiff

Examples

memory.long <- fracdiff.sim(1500, d = 0.3)
fdGPH(memory.long$series)

fracdiff documentation built on May 29, 2024, 3:37 a.m.