getLongRunVar {cointReg} R Documentation

## Long-Run Variance

### Description

This function computes the long-run variance Omega, the one sided long-run variance Delta (starting with lag 0) and the variance Sigma from an input matrix of residuals.

### Usage

getLongRunVar(u, bandwidth = c("and", "nw"), kernel = c("ba", "bo", "da",
"pa", "qs", "tr"), demeaning = FALSE, check = TRUE, ...)


### Arguments

 u [numeric | matrix] Data on which to apply the calculation of the long-run variance. bandwidth [numeric(1)] The bandwidth to use for calculating the long-run variance as a positive intergerish value. kernel [character(1)] The kernel function to use for selecting the bandwidth. Default is Bartlett kernel ("ba"), see Details for alternatives. demeaning [logical] Demeaning of the data before the calculation (default is FALSE). check [logical] Wheather to check (and if necessary convert) the arguments. See checkVars for further information. ... Arguments passed to getBandwidthNW.

### Details

The bandwidth can be one of the following:

• "ba": Bartlett kernel

• "bo": Bohmann kernel

• "da": Daniell kernel

• "pa": Parzen kernel

• "qs": Quadratic Spectral kernel

• "tr": Truncated kernel

### Value

[list] with components:

Omega [matrix]

Long-run variance matrix

Delta [matrix]

One-sided long-run variance matrix

Sigma [matrix]

Variance matrix

getBandwidth

### Examples

set.seed(1909)
x <- rnorm(100)
band <- getBandwidthAnd(x, kernel = "ba")
getLongRunVar(x, kernel = "ba", bandwidth = band)
# shorter:
getLongRunVar(x, kernel = "ba", bandwidth = "and")

x2 <- arima.sim(model = list(ar = c(0.7, 0.2)), innov = x, n = 100)
x2 <- cbind(a = x2, b = x2 + rnorm(100))
getLongRunVar(x2, kernel = "ba", bandwidth = "nw")



[Package cointReg version 0.2.0 Index]