Skewness-kurtosis map as a probability theory and mathematical statistics tool (educational aspect)

Abstract. The paper deals with a new approach to probability distributions identification, which is based on skewness and kurtosis of some well-known distributions. These distribution’s skewness, and kurtosis determine curves, or points on the coordinate plane “skewness – kurtosis”. The sample skewness, and kurtosis alt-hough determine a point on this plane. If this point belongs to the curve or the set of points, or places near them, we need to verify the hypothesis that the sample belongs to the corresponding distribution. The ap-proach proposed is adapted to educational use in probability theory and statistics.