Умови приналежності двокомпонентної суміші розподілів до одного типу
A general case the two-component Gaussian mixture is examined. It is shown that by varying the parameters of components of the mixture a large family of distributions can be obtained. A criterion for the distribution function is found, defining the mixtures’ belonging to one type. The conditions, which the component parameters of uniform mixtures should meet, are determined. Formulas for the transition from a random variable with arbitrary values of the expectation and variance to the standard random variable with zero mean and unit variance were derived.