Bent-cable quantile regression model

This article considers a bent-cable quantile regression model that comprises two linear segments but is smoothly jointed by quadratic bend. very flexible to allow the relationship between response variable and covariate of interest change gradually or abruptly across point value in covariate. However, due non-differentiability objective function regression, it challenge estimate unknown parameters. Our work aims develop gradient-search algorithm obtain estimators coefficients location. We establish asymptotic properties proposed using modern empirical processes theory. Monte Carlo simulation studies an economic application illustrate good performance our procedures.