Abstract
The paper presents a method for modeling probability distributions based on the base normal distribution. The transformation of the base distribution includes truncating the distribution, splitting it into three components in accordance with two specified quantiles, multiplying the density function in each of the intervals by a linear factor. The distribution obtained in this way has a complex nonstandard configuration, including mixtures of the normal distribution and the Rayleigh distribution. A computer program has been developed that makes it possible to model the distribution according to its parameters and implements the criterion for the agreement of sample data with the distribution of the specified type with automatic adjustment of the parameters. The construction algorithm allows for use of other base distributions.
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