Title

SOME COMMENTS ON THE WEIBULL-R FAMILY WITH
BASELINE PARETO AND LOMAX CUMULATIVE SIGMOIDS

Authors

Nikolay Kyurkchiev, Anton Iliev, Asen Rahnev
Faculty of Mathematics and Informatics
University of Plovdiv Paisii Hilendarski
24 Tzar Asen Str., 4000 Plovdiv, BULGARIA

Abstract

In this paper we study the one-sided Hausdorff approximation of the shifted Heaviside step function by some classes of Weibull-R Family with baseline Pareto and Lomax cumulative sigmoids. The estimates of the value of the best Hausdorff approximation obtained in this article can be used in practice as one possible additional criterion in ”saturation” study.

Numerical examples, illustrating our results are presented using programming environment CAS Mathematica.

History

Received: April 2, 2018
Revised: December 11, 2018
Published: January 14, 2019

AMS Classification, Key Words

AMS Subject Classification: 68N30, 41A46
Key Words and Phrases: Weibull-G family of cumulative distribution, Weibull-R family with baseline Pareto (cdf), Weibull-R family with baseline Lomax (cdf), Heaviside function, Hausdorff approximation, upper and lower bounds

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How to Cite?

DOI: 10.12732/ijpam.v120i3.14 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2018
Volume: 120
Issue: 3
Pages: 461 -

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This work is licensed under the Creative Commons Attribution International License (CC BY).

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