The generalization of the hyperbolic secant distribution and the logistic distribution in the single distribution with variable kurtosis | Zendy

E. V. Kaplya | Zendy

Open Access

The generalization of the hyperbolic secant distribution and the logistic distribution in the single distribution with variable kurtosis

Author(s) -

E. V. Kaplya

Publication year - 2020

Publication title -

dal nevostochnyi matematicheskii zhurnal

Language(s) - English

Resource type - Journals

ISSN - 1608-845X

DOI - 10.47910/femj202008

Subject(s) - kurtosis , mathematics , logistic distribution , generalization , statistics , distribution (mathematics) , log logistic distribution , cumulative distribution function , logistic function , mathematical analysis , logistic regression , probability density function

The generalization V of the logistic distribution is proposed and investigated. For a random variable having a generalized logistic distribution of type V, the characteristic function is found, the generating function of moments is formed, and the expression of dispersion is obtained. The dependence of the kurtosis coefficient of the generalized logistic distribution on the power parameter is found and investigated. The interval of values of the coefficient of kurtosis of the generalized logistic distribution is determined. It is found that the coefficient of kurtosis depends only on the power parameter.

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