Normal distribution with plasticizing component

Piotr Sulewski

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 11, 3806-3835

Abstract: In this article, we introduce a new flexible plasticizing component and mixture of two distributions, further called the normal distribution with the plasticizing component. Some properties of the introduced distributions are derived, such as the cumulative distribution and the probability density function, moments, skewness and kurtosis. The unknown parameters are estimated by the maximum likelihood method. Illustrative examples of applicability and flexibility of the introduced distributions are given. We compare the flexibility of the introduced distribution and various distributions using skewness and kurtosis.

Date: 2022
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DOI: 10.1080/03610926.2020.1837881

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