Results of Fourier Kruse unit root test
| Fourier Kruse Model 1: | ||||
|---|---|---|---|---|
| Fourier Kruse Model 2: | ||||
| Countries | k* | k | FKruse | F-stat. |
| Bulgaria | 1 | 1 | 10.14 | 159.32 |
| Croatia | 1 | 2 | 1.730 | 182.80 |
| CzechR | 2 | 4 | 8.459 | 97.21 |
| Estonia | 2 | 4 | 6.191 | 167.19 |
| Hungary | 1 | 1 | 5.380 | 934.34 |
| Kazakhstan | 1 | 12 | 20.61** | 107.71*** |
| KyrgyzR | 2 | 1 | 3.727 | 42.21 |
| Latvia | 2 | 4 | 11.11 | 191.90 |
| Lithuania | 2 | 5 | 10.15 | 171.17 |
| Poland | 2 | 5 | 9.041 | 413.55 |
| Romania | 2 | 1 | 2.250 | 85.70 |
| SlovakR | 2 | 8 | 14.750** | 135.69*** |
| Slovenia | 1 | 3 | 6.615 | 96.73 |
| Fourier Kruse Model 1: | ||||
|---|---|---|---|---|
| Fourier Kruse Model 2: | ||||
| Countries | k | k | FKruse | |
| Bulgaria | 1 | 1 | 10.14 | 159.32 |
| Croatia | 1 | 2 | 1.730 | 182.80 |
| CzechR | 2 | 4 | 8.459 | 97.21 |
| Estonia | 2 | 4 | 6.191 | 167.19 |
| Hungary | 1 | 1 | 5.380 | 934.34 |
| Kazakhstan | 1 | 12 | 20.61 | 107.71 |
| KyrgyzR | 2 | 1 | 3.727 | 42.21 |
| Latvia | 2 | 4 | 11.11 | 191.90 |
| Lithuania | 2 | 5 | 10.15 | 171.17 |
| Poland | 2 | 5 | 9.041 | 413.55 |
| Romania | 2 | 1 | 2.250 | 85.70 |
| SlovakR | 2 | 8 | 14.750 | 135.69 |
| Slovenia | 1 | 3 | 6.615 | 96.73 |
Notes: All unit root tests include an intercept and trend; If null hypotheses are θ1 = θ2 = 0, there is unit root; Model 2 is estimated, as in Kruse (2011) test, using error terms from Model 1; k* indicates the optimal frequency, while k indicates the optimal number of lags; Table critical values of unit root tests are taken from Guris (2019). The table critical values of the FKruse unit root test are 23.56, 18.54, 15.74 for k* = 1 and 18.78, 14.2, 12.32 for k* = 2 and Becker et al. (2006) F table value is 6.87, 4.97 and 3.92 for 1%, 5% and 10%, respectively; In case, the unit root null hypothesis is rejected, Becker et al. (2006) used the F statistic to test the null hypothesis of the absence of the non-linear trend suggested in the study, and the rejection of the null hypothesis states that the series is stationary around the broken deterministic function;
*** and
** imply rejection of the unit root at the 1% and 5% levels, respectively