Function to estimate transition values, which uses a smooth transition function as used in Auerbach and Gorodnichenko (2012). The time series used in the transition function can be de-trended via the Hodrick-Prescott (see Auerbach and Gorodnichenko, 2013).
switching_series(switching_data, specs)
A numeric vector.
A numeric vector with values from smooth transition function \(F(z_{t-1})\).
Auerbach, A. J., and Gorodnichenko Y. (2012). "Measuring the Output Responses to Fiscal Policy." American Economic Journal: Economic Policy, 4 (2): 1-27.
Auerbach, A. J., and Gorodnichenko Y. (2013). "Fiscal Multipliers in Recession and Expansion." NBER Working Paper Series. Nr 17447.