Correct parametrizations of linear models (Q1920100)

The paper considers the problem of parametrization correctness of linear models meant as unique computability of the model parameters from the solution subspace. General algebraic sufficient conditions for correctness are provided, and the class of parametrizations for which these conditions become necessary is indicated. Also the problem concurring the minimal number of fixed coefficients (independent of the parameters) in correct and nondegenerate models is discussed. Some illustrative examples are included. The results obtained constitute a basis for discussion of the parameter identifiability problem.