Shp. Lau, USING STOCHASTIC GROWTH-MODELS TO UNDERSTAND UNIT ROOTS AND BREAKING TRENDS, Journal of economic dynamics & control, 21(10), 1997, pp. 1645-1667
This paper provides economic underpinnings for some recent econometric
models of unit roots and breaking trends. It shows that in an endogen
ous growth model, difference stationarity is present in every growing
variable; and this phenomenon is generated by the propagation mechanis
m of the model. For an exogenous growth model, either difference stati
onarity or trend stationarity may be present, depending on the nature
of external impulses, Regarding long-run growth rates, permanent chang
es in economic fundamentals lead to segmented trends in endogenous gro
wth models, but only shifting trends in exogenous growth models.