Abstract:
Approach to approximation of double-dimensional densities of probabilities in rectangle areas by the families of double-dimensional orthogonal functions created by multiplication of single-dimensional orthogonal functions is studied. Calculation formulas of approximation coefficients are quoted at different bases by using primary spline approximation of input data, as well as the meaning of methodical deviation at selected values of scale and transmission coefficients.
Keywords:approximation, orthogonal basis, double-dimensional function, approximation coefficient, density of probabilities, double-dimensional spline.