COMMENTS ON A ZUBAIR–G FAMILY OF CUMULATIVE LIFETIME DISTRIBUTIONS. SOME EXTENSIONS

NIKOLAY KYURKCHIEV; ANTON ILIEV; ASEN RAHNEV

Title	COMMENTS ON A ZUBAIR–G FAMILY OF CUMULATIVE LIFETIME DISTRIBUTIONS. SOME EXTENSIONS
Publication Type	Journal Article
Year of Publication	2019
Authors	KYURKCHIEV, NIKOLAY, ILIEV, ANTON, RAHNEV, ASEN
Volume	23
Issue	1
Start Page	1
Pagination	20
Date Published	11/2018
ISSN	1083-2564
AMS	41A46, 68N30
Abstract	In this paper we study the one--sided Hausdorff approximation of the shifted Heaviside step function by a class of the Zubair--G family of cumulative lifetime distribution. 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. As an illustrative example we consider the modelling of the growth of red abalone (Haliotis Rufescens) in Northern California. We also look at a possible extension, which we call $\alpha$--Zubair--G Family. For the analysis of said dataset with the new (cdf), some comparisons are made. Finally, the potentiality of the software reliability models analyzed bu means of real dataset. Numerical examples, illustrating our results are presented using programming environment CAS Mathematica.
URL	https://acadsol.eu/en/articles/23/1/1.pdf
DOI	10.12732/caa.v23i1.1
Refereed Designation	Refereed
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