The book suggests an investigation of asymmetric properties and nonlinear structure of behavior for number of macroeconomic indicators that represent the socio-economic sphere. The empirical study includes the econometric modeling of processes on Ukrainian labor market. The research is based on threshold-disturbance moving average and threshold - disturbance autoregressive models that reveal a significant asymmetric reactions of labor force participant rate, unemployment rate and productivity to positive and negative macroeconomic shocks. To describe nonlinear dynamics, the logistic smooth transition autoregressive models are developed.