coint_hatemij¶

Purpose¶

Computes the test of the null hypothesis of no cointegration against the alternative of cointegration with two regime shifts.

Format¶

{ ADF_min, TB1adf, TB2adf, Zt_min, TB1zt, TB2zt, Za_min, TB1za, TB2za, cvADFZt, cvZa } = coint_hatemiJ(y, x[, model, bwl, ic, pmax, varm, trimm])¶

Parameters:

y (Nx1 matrix) – Dependent variable.
x (NxK matrix) – Independent variable.
model (Scalar) –
Optional, model to be implemented. Default = 3.

3

Regime shift (C/S)
bwl (Scalar) – Optional, bandwidth length for long-run variance computation. Default = round(4 * (T/100)^(2/9)).
ic (Scalar) –
Optional, the information criterion used for choosing lags. Default = 3.

1

Akaike.

2

Schwarz.

3

t-stat significance
pmax (Scalar) – Optional, maximum number of lags for \(\Delta y\) in ADF test. Default = 8.
varm (Scalar) –
Optional, long-run consistent variance estimation method. Default = 1.

1

iid.

2

Bartlett.

3

Quadratic Spectral (QS).

4

SPC with Bartlett (Sul, Phillips & Choi, 2005)

5

SPC with QS

6

Kurozumi with Bartlett

7

Kurozumi with QS
trimm (Scalar) – Optional, trimming rate. Default = 0.10.

Returns:

ADFmin (Scalar) – ADF test statistic
TB1adf (Scalar) – First break point using ADF statistic.
TB2adf (Scalar) – Second break point using ADF statistic.
Ztmin (Scalar) – Zt test statistic
TB1zt (Scalar) – Break point using Zt statistic.
TB2zt (Scalar) – Break point using Zt statistic.
Zamin (Scalar) – Za test statistic
TB1za (Scalar) – First break point for using Za statistic.
TB2adf – Second break point using Za statistic.
cvADFZt (Scalar) – 1%, 5%, 10% critical values for ADF and Zt test statistics.
cvZa (Scalar) – 1%, 5%, 10% critical values for Za test statistics.

Examples¶

library tspdlib;

// Load dataset
data = loadd(getGAUSSHome() $+ "pkgs/tspdlib/examples/ts_coint.csv",
                          ". + date($Date, '%b-%y')");

// Define y and x matrix
y = data[., 1];
x = data[., 2:cols(data)];

T = rows(data);

// Call test
{ADF_min, TB1adf, TB2adf, Zt_min, TB1zt, TB2zt, Za_min, TB1za, TB2za, cvADFZt, cvZa } =
    coint_hatemiJ(y, x);

Source¶

coint_hatemij.src

1	iid.
2	Bartlett.
3	Quadratic Spectral (QS).
4	SPC with Bartlett (Sul, Phillips & Choi, 2005)
5	SPC with QS
6	Kurozumi with Bartlett
7	Kurozumi with QS

1	Akaike.
2	Schwarz.
3	t-stat significance