Quantile autoregression unit root analysis
| byiet | geput | oprit | |||||||
|---|---|---|---|---|---|---|---|---|---|
| τ | α^ | t-statistic | Critical values | α | t-statistic | Critical values | α^ | t-statistic | Critical values |
| 0.05 | 0.822 | 0.022 | −3.033 | 0.640 | −2.791 | −3.056 | 0.882 | −2.670 | −3.389 |
| 0.10 | 0.890 | −0.398 | −3.153 | 0.661 | −2.368 | −3.160 | 0.890 | −2.531 | −3.213 |
| 0.15 | 0.921 | −0.254 | −3.083 | 0.693 | −1.481 | −3.001 | 0.921 | −3.549 | −3.286 |
| 0.20 | 0.930 | −1.042 | −3.093 | 0.701 | −0.489 | −2.954 | 0.930 | −2.794 | −3.361 |
| 0.25 | 0.950 | −0.885 | −3.103 | 0.741 | −0.679 | −3.020 | 0.950 | −2.238 | −3.277 |
| 0.30 | 0.967 | −1.243 | −3.083 | 0.741 | 0.167 | −2.962 | 0.967 | −1.736 | −3.303 |
| 0.35 | 0.961 | −1.865 | −3.202 | 0.749 | 1.009 | −2.918 | 0.961 | −2.143 | −3.071 |
| 0.40 | 0.973 | −1.687 | −3.172 | 0.736 | 0.343 | −2.791 | 0.973 | −1.730 | −2.975 |
| 0.45 | 0.987 | −2.166 | −3.185 | 0.780 | −5.333 | −2.310 | 0.987 | −0.873 | −3.024 |
| 0.50 | 0.989 | −2.630 | −3.137 | 0.788 | −8.804 | −2.398 | 0.989 | −0.804 | −3.094 |
| 0.55 | 0.991 | −2.825 | −3.155 | 0.859 | −7.336 | −2.557 | 0.991 | −0.701 | −3.021 |
| 0.60 | 0.997 | −2.675 | −3.171 | 0.890 | −8.358 | −2.700 | 0.997 | −0.194 | −2.938 |
| 0.65 | 0.994 | −2.562 | −3.244 | 0.898 | −6.978 | −2.715 | 0.994 | −0.416 | −2.893 |
| 0.70 | 1.007 | −2.566 | −3.286 | 0.929 | −6.952 | −2.788 | 1.007 | 0.497 | −2.794 |
| 0.75 | 1.018 | −2.245 | −3.324 | 0.975 | −6.676 | −2.899 | 1.018 | 1.130 | −2.807 |
| 0.80 | 1.060 | −1.609 | −3.227 | 0.959 | −6.473 | −2.882 | 1.059 | 3.235 | −2.771 |
| 0.85 | 1.048 | −1.480 | −2.984 | 1.013 | −6.028 | −2.866 | 1.048 | 2.491 | −2.824 |
| 0.90 | 1.081 | −1.832 | −3.087 | 1.094 | −5.616 | −2.879 | 1.081 | 4.099 | −2.663 |
| 0.95 | 1.084 | −2.607 | −2.434 | 1.105 | −3.493 | −2.986 | 1.084 | 3.171 | −2.310 |
| τ | α^ | Critical values | α | Critical values | α^ | Critical values | |||
|---|---|---|---|---|---|---|---|---|---|
| 0.05 | 0.822 | 0.022 | −3.033 | 0.640 | −2.791 | −3.056 | 0.882 | −2.670 | −3.389 |
| 0.10 | 0.890 | −0.398 | −3.153 | 0.661 | −2.368 | −3.160 | 0.890 | −2.531 | −3.213 |
| 0.15 | 0.921 | −0.254 | −3.083 | 0.693 | −1.481 | −3.001 | 0.921 | −3.549 | −3.286 |
| 0.20 | 0.930 | −1.042 | −3.093 | 0.701 | −0.489 | −2.954 | 0.930 | −2.794 | −3.361 |
| 0.25 | 0.950 | −0.885 | −3.103 | 0.741 | −0.679 | −3.020 | 0.950 | −2.238 | −3.277 |
| 0.30 | 0.967 | −1.243 | −3.083 | 0.741 | 0.167 | −2.962 | 0.967 | −1.736 | −3.303 |
| 0.35 | 0.961 | −1.865 | −3.202 | 0.749 | 1.009 | −2.918 | 0.961 | −2.143 | −3.071 |
| 0.40 | 0.973 | −1.687 | −3.172 | 0.736 | 0.343 | −2.791 | 0.973 | −1.730 | −2.975 |
| 0.45 | 0.987 | −2.166 | −3.185 | 0.780 | 0.987 | −0.873 | −3.024 | ||
| 0.50 | 0.989 | −2.630 | −3.137 | 0.788 | 0.989 | −0.804 | −3.094 | ||
| 0.55 | 0.991 | −2.825 | −3.155 | 0.859 | 0.991 | −0.701 | −3.021 | ||
| 0.60 | 0.997 | −2.675 | −3.171 | 0.890 | 0.997 | −0.194 | −2.938 | ||
| 0.65 | 0.994 | −2.562 | −3.244 | 0.898 | 0.994 | −0.416 | −2.893 | ||
| 0.70 | 1.007 | −2.566 | −3.286 | 0.929 | 1.007 | 0.497 | −2.794 | ||
| 0.75 | 1.018 | −2.245 | −3.324 | 0.975 | 1.018 | 1.130 | −2.807 | ||
| 0.80 | 1.060 | −1.609 | −3.227 | 0.959 | 1.059 | 3.235 | −2.771 | ||
| 0.85 | 1.048 | −1.480 | −2.984 | 1.013 | 1.048 | 2.491 | −2.824 | ||
| 0.90 | 1.081 | −1.832 | −3.087 | 1.094 | 1.081 | 4.099 | −2.663 | ||
| 0.95 | 1.084 | −2.607 | −2.434 | 1.105 | 1.084 | 3.171 | −2.310 | ||
Note:
Italic values indicate the relevant series is stationary the 5% significance level
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