cointReg {cointReg}

Estimation and Inference for cointegrating regressions

Description

Computes either the Phillips and Hansen (1990) Fully Modified OLS estimator, or the Saikkonen (1990) Dynamic OLS estimator, or the Vogelsang and Wagner (2014) Integrated Modified OLS estimator.

Usage

cointReg(method = c("FM", "D", "IM"), x, y, ...)

Arguments

method

[character(1)]
Select the method for the estimation of your cointegration model:

• "FM": FM-OLS (default), see details at cointRegFM

• "D": D-OLS, see details at cointRegD

• "IM": IM-OLS, see details at cointRegIM

x

[numeric | matrix | data.frame]
RHS variables on which to apply the model estimation.

y

[numeric | matrix | data.frame]
LHS variable(s) on which to apply the model estimation. Usually one-dimensional, but a matrix or data.frame with more than one column is also possible (only for FM-OLS).

...

[any]
Arguments passed to the corresponding cointReg function, like:

• x, y, deter: data to include in the model

• kernel, bandwidth: parameters for calculating the long-run variance

• n.lead, n.lag, kmax, info.crit: D-OLS specific arguments.

• selector, t.test: IM-OLS specific arguments.

• check: Wheather to check (and if necessary convert) the arguments. See checkVars for further information.

Value

[cointReg] object.

References

• Phillips, P.C.B. and B. Hansen (1990): "Statistical Inference in Instrumental Variables Regression with I(1) Processes," Review of Economic Studies, 57, 99–125, DOI:10.2307/2297545.

• Phillips, P.C.B. and M. Loretan (1991): "Estimating Long Run Economic Equilibria," Review of Economic Studies, 58, 407–436, DOI:10.2307/2298004.

• Saikkonen, P. (1991): "Asymptotically Efficient Estimation of Cointegrating Regressions," Econometric Theory, 7, 1–21, DOI:10.1017/S0266466600004217.

• Stock, J.H. and M.W. Watson (1993): "A Simple Estimator of Cointegrating Vectors in Higher Order Integrated Systems," Econometrica, 61, 783–820, DOI:10.2307/2951763.

• Vogelsang, T.J. and M. Wagner (2014): "Integrated Modified OLS Estimation and Fixed-b Inference for Cointegrating Regressions," Journal of Econometrics, 148, 741–760, DOI:10.1016/j.jeconom.2013.10.015.

See Also

Other cointReg: cointRegD, cointRegFM, cointRegIM, plot.cointReg, print.cointReg

Examples

set.seed(1909)
x1 = cumsum(rnorm(100, mean = 0.05, sd = 0.1))
x2 = cumsum(rnorm(100, sd = 0.1)) + 1
x3 = cumsum(rnorm(100, sd = 0.2)) + 2
x = cbind(x1, x2, x3)
y = x1 + x2 + x3 + rnorm(100, sd = 0.2) + 1
deter = cbind(level = 1, trend = 1:100)
cointReg("FM", x = x, y = y, deter = deter, kernel = "ba",
         bandwidth = "and")

# Compare the results of all three models:
res = sapply(c("FM", "D", "IM"), cointReg, x = x, y = y, deter = deter)
do.call(cbind, lapply(res, "[[", "theta"))