Title: Empirical regression quantile process with possible application to risk analysis,
Abstract: The processes of the averaged regression quantiles and of their modifications
provide useful tools in the regression models when the covariates are not fully
under our control. As an application we mention the probabilistic risk
assessment in the situation when the return depends on some exogenous
variables. The processes enable to evaluate the expected $\alpha$-shortfall
($0\leq\alpha\leq 1$) and other measures of the risk, recently generally
accepted in the financial literature, but also help to measure the risk in
environment analysis and elsewhere.