kpss_2break

Purpose

Computes the KPSS stationary test with two structural breaks.

Format

{ kpss_stat, tb1, tb2, cv } = KPSS_2breaks(y, model[, bwl, varm, trimm])
Parameters:
  • y (Nx1 matrix) – Time series data to be tested.
  • model (Scalar) –

    Model to be implemented.

    1 Level shift without trend.
    2 Level shift with trend.
    3 Trend shift.
    4 Level and trend shift.
  • bwl (Scalar) – Optional, bandwidth for the spectral window. Default = round(4 * (T/100)^(2/9)).
  • 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:
  • kpss_stat (Scalar) – The KPSS test statistic with two breaks.
  • tb1 (Scalar) – Location of the first break.
  • tb2 (Scalar) – Location of the second break.
  • cv (Vector) – 1%, 5%, and 10% critical values for kpss_2break() statistic.

Examples

library tspdlib;

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

// Break in level
model = 1;
{ KPSS, tb1, tb2, cv } = KPSS_2breaks(y, model);

Source

kpss_1br.src

See also

Functions lmkpss(), kpss_1break()