LongMemoryTS (version 0.1.0)

FCI_N10: Nonparametric test for fractional cointegration (Nielsen (2010))

Description

FCI_CH06 Nonparametric test and rank estimation for fractional cointegration by Nielson (2010). Returns either test statistic, critical value and testing decision (null hypothesis: no fractional cointegration) or the estimated cointegrating rank.

Usage

FCI_N10(X, d1 = 0.1, m, mean_correct = c("mean", "init", "weighted",
  "none"), type = c("test", "rank"), alpha = 0.05)

Arguments

X

data matrix.

d1

fixed order of integration, default is d1=0.1 as recommended by Nielsen (2010), no critical values for other choices available.

m

bandwith parameter specifying the number of Fourier frequencies used for the memory estimation required for the asymptotic distribution, usually floor(1+T^delta), where 0<delta<1.

mean_correct

specifies the form of mean correction in the memory estimation.

type

string that determines whether the test or the rank estimation procedure is applied.

alpha

desired significance level. Default is alpha=0.05.

References

Nielsen, M. O. (2010): Nonparametric cointegration analysis of fractional systems with unknown integration orders. Journal of Econometrics, Vol. 155, No. 2, pp. 170 - 187.

Examples

# NOT RUN {
T<-1000
series<-FI.sim(T=T, q=2, rho=0.4, d=c(0.1,0.9), B=rbind(c(1,-1),c(0,1)))
FCI_N10(series, m=floor(T^0.75), type="test")
series<-FI.sim(T=T, q=2, rho=0.4, d=c(0.9,0.9))
FCI_N10(series, m=floor(T^0.75), type="test")
series<-FI.sim(T=T, q=3, rho=0.4, d=c(0.2,0.2,1), B=rbind(c(1,-0.5,-0.3),c(0,1,-0.4),c(0,0,1)))
FCI_N10(series,m=floor(T^0.75),type="rank")
# }