Some Notes for Two Generalized Trigonometric Families of Distributions

Autor:	Maria T. Vasileva
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	generated family trigonometric distribution Hausdorff distance Heaviside step function upper and lower bounds recurrent family Mathematics QA1-939
Zdroj:	Axioms, Vol 11, Iss 4, p 149 (2022)
Druh dokumentu:	article
ISSN:	11040149 2075-1680
DOI:	10.3390/axioms11040149
Popis:	The paper deals with two general families of cumulative distribution functions based on arctangent function. We provide analysis of the error of the best one-sided Hausdorff approximation for some special cases of these families. We obtain precious estimates for the value of the Hausdorff distance that can be used as an additional criterion in practice. Further, the family of recurrence generated adaptive functions is constructed and investigated. All new results are illustrated with suitable numerical experiments. Simple dynamic software modules show applicability of Hausdorff approximation.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6bf10235f0b540d2b8c485b806c4c0d9 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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