The mixture of multiple regression equations: open problems

In this article multiple regression equations are considered. The study is based on a sample that is influenced by the external environment. This external environment is represented in the form of factors that influence the main sample. The sample is divided into parts and a~multiple regression equation is constructed for each part. We construct a mixture of regression equations. There are posed open problems concerning determinination of the coefficients of mixture of nonlinear regression equations via lasso, ridge and elastic regression estimators.