# IJPAM: Volume 120, No. 3 (2018)

# Title

A NOTE ON THE ZUBAIR-G FAMILY WITH BASELINELOMAX CUMULATIVE DISTRIBUTION FUNCTION.

SOME APPLICATIONS

# Authors

Nikolay Pavlov, Nikolay Kyurkchiev, Anton Iliev, Asen RahnevFaculty 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 a class of the Zubair-G family of cumulative lifetime distribution with baseline Lomax c.d.f. 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 -Zubair-G Family with baseline Lomax (cdf).

Finally, the potentiality of the new software reliability model analyzed by means of real dataset. Some comparisons are made. Numerical examples, illustrating our results are presented using programming environment *CAS Mathematica*.

# History

**Received: **April 2, 2018
**Revised: **December 12, 2018
**Published: **January 14, 2019

# AMS Classification, Key Words

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

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# How to Cite?

**DOI: 10.12732/ijpam.v120i3.15**

International Journal of Pure and Applied Mathematics

**How to cite this paper?****Source:****ISSN printed version:**1311-8080

**ISSN on-line version:**1314-3395

**Year:**2018

**Volume:**120

**Issue:**3

**Pages:**471 - 486

Google Scholar; DOI (International DOI Foundation); WorldCAT.

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