Smooth Transitions, Neural Networks, and Linear Models - CiteSeerX

−8 −6 −4 −2 0 2 4 6 81110.90.90.90.80.80.80.70.7Transition function0.70.60.5Transition function0.60.50.4Transition function0.60.50.40.30.30.40.20.20.30.10.10.2Linear combination of transition variables0−20 −15 −10 −5 0 5 10 15Linear combination of transition variables0−100 −50 0 50 100 150Linear combination of transition variables(a) Austria(b) Belgium(c) Finland111Transition function0.80.60.40.20−20 −15 −10 −5 0 5 10 15Linear combination of transition variables1Transition function0.90.80.70.60.50.4Transition function0.90.80.70.60.50.40.80.30.30.60.40.20−6 −4 −2 0 2 4 6 80.20.10−60 −40 −20 0 20 40 60Linear combination of transition variables0.20.10−100 −50 0 50 100 150 200 250Linear combination of transition variables(d) France(e) Germany(f) Sweden1110.90.80.70.90.80.7Transition function0.80.60.40.2Transition function0.60.50.4Transition function0.60.50.40−1 −0.5 0 0.5 1 1.5 2 2.5 3 3.5 4Linear combination of transition variablesx 10 410.30.20.10.30.20.1Transition function0.80.60.40−12 −10 −8 −6 −4 −2 0 2 4 6Linear combination of transition variables0−3 −2 −1 0 1 2 3 4 5 6 7Linear combination of transition variables0.2−4 −2 0 2 4 6 8 10 12 14Linear combination of transition variables(g) Australia(h) Spain(i) Siri-Lanka10.8Transition function0.60.40.20−10 −5 0 5 10 15Linear combination of transition variables10.8Transition function0.60.40.20−1000 −500 0 500 1000 1500Linear combination of transition variables(j) IndiaFigure 3: Scatter plot of transition function versus the linear combination of transition variables25