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A Note on the Transmuted Kumaraswamy Quasi Lindley Cumulative Distribution Function

Author(s):
Anton Iliev , University of Plovdiv Paisii Hilendarski; Anna Malinova, University of Plovdiv Paisii Hilendarski; Vesselin Kyurkchiev, University of Plovdiv Paisii Hilendarski; Nikolay Kyurkchiev, University of Plovdiv Paisii Hilendarski

Keywords:
5–parameters Transmuted Kumaraswamy Quasi Lindley cumulative distribution function (TKQL–CDF), shifted Heaviside function, Hausdorff distance, upper and lower bounds

Abstract

In this paper we study the one–sided Hausdorff approximation of the shifted Heaviside function by a class of sigmoidal 5–parameters Transmuted Kumaraswamy Quasi Lindley cumulative distribution function (TKQL–CDF). The results are relevant for applied insurance mathematics, biomathematics, lifetime analysis, etc. Numerical examples are presented using CAS MATHEMATICA.

Other Details
Paper ID: IJSRDV6I20202
Published in: Volume : 6, Issue : 2
Publication Date: 01/05/2018
Page(s): 561-564

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