I intend to empirically investigate the factors which affect Bulgaria's business cycle. Can you direct me to empirical studies where the business cycle phase is a binary dependent variable?
If I understand correctly, you mean a business subject to two states: recession and expansion. You can model the probability of the two states endogenously with a markow switching model, so that nonlinearities with respect to time arise with regard to the variables of interest (if any)
1) Hamberg U. and Verstanding D. (2009), Applying logistic regression models on business cycle prediction, Stockholm School of Economics
http://arc.hhs.se/download.aspx?MediumId=680
2) Nyberg H. (2012), A bivariate autoregressive probit model: business cycles linkages and transmission of recession probabilities, University of Helsinki
3) Pestova A. (2015), Leading indicators of business cycle: dynamic logit model for OECD countries and Russia, National Research University, Higher School of Economics, wp brp 94/ec/2015
4) Dueker M. and Wewsche K. (2001), European business cycles: new indices and analysis of their synchronicity, Federal Reserve Bank of St. Louis, working paper 1999-019B