POSSIBILITY OF APPROXIMATING MULTIMODAL DISTRIBUTIONS BY MIXTURES OF STANDARD PROBABILITY DENSITY-FUNCTIONS

Specific aspects of the approximation of multimodal distributions are discussed. It is shown tha the formulation of an algorithm for the approximation of multimodal probability density functions by mixtures of standard distributions is a solvable problem, since it is proved that a finite mixture of distributions belonging to the author's ''extended'' Pearson system is separable.