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RBA Glossary definition for Trend

Trend – A trend series is a seasonally adjusted series that has been further adjusted to remove irregular effects and �smooth� out the series to show the overall �trend� of the data over time. This series is usually provided by the Australian Bureau of Statistics.

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Some Econometric Issues

1 Jul 1986 RDP 8608
Robert G. Trevor and Stephen G. Donald
However, it is well known that many macro-economic variables exhibit trends and are thus non-stationary. ... These criteria were satisfied by a first-order polynomial (i.e., a linear time trend) for each of the VARs presented below.
https://www.rba.gov.au/publications/rdp/1986/8608/some-econometric-issues.html

Appendix A: Excluding Japan

1 Jul 1986 RDP 8608
Robert G. Trevor and Stephen G. Donald
Pre-Float. Post-Float. AUSTWI. 0001. 0001. AUSRATE. 0001. 0028. Footnote. The pre-float VAR has five lags and no time trend; the post-float VAR has two lags and a ... linear time trend.
https://www.rba.gov.au/publications/rdp/1986/8608/appendix-a.html

Appendix C: Sims Filtered Data

1 Jul 1986 RDP 8608
Robert G. Trevor and Stephen G. Donald
2. ) transformation. All results refer to these pre-filtered data. The pre-float VAR has seven lags and a linear time trend; the post-float VAR has eight lags and a ... linear trend.
https://www.rba.gov.au/publications/rdp/1986/8608/appendix-c.html

Appendix B: Differenced Data

1 Jul 1986 RDP 8608
Robert G. Trevor and Stephen G. Donald
All results refer to these pre-filtered data. The pre-float VAR has five lags and no time trend; the post-float VAR has three lags and a linear time trend.
https://www.rba.gov.au/publications/rdp/1986/8608/appendix-b.html

Empirical Results

1 Jul 1986 RDP 8608
Robert G. Trevor and Stephen G. Donald
The VAR for the pre-float sample period required five lags and a first order time trend to induce multivariate white noise residuals (innovations), while for the post-float sample period ... four lags and a first order time trend were required.
https://www.rba.gov.au/publications/rdp/1986/8608/empirical-results.html