arfima0 {arfima}

Exact MLE for ARFIMA The time series is corrected for the sample mean and then exact MLE is used for the other parameters. This is a simplified version of the arfima() function that may be useful in simulations and bootstrapping.

Description

The sample mean is asymptotically efficient.

Usage

arfima0(z, order = c(0, 0, 0), lmodel = c("FD", "FGN", "PLA", "NONE"))

Arguments

z

time series

order

(p,d,q) where p=order AR, d=regular difference, q=order MA

lmodel

type of long-memory component: FD, FGN, PLA or NONE

Value

list with components:

bHat

transformed optimal parameters

alphaHat

estimate of alpha

HHat

estimate of H

dHat

estimate of d

phiHat

estimate of phi

thetaHat

estimate of theta

wLL

optimized value of Whittle approximate log-likelihood

LL

corresponding exact log-likelihood

convergence

convergence indicator

Author(s)

JQ (Justin) Veenstra and A. I. McLeod

Examples

z <- rnorm(100)
arfima0(z, lmodel="FGN")