The Zubair-G Family of Distributions: Properties and Applications

Zubair Ahmad ()
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Zubair Ahmad: Quaid-i-Azam University 45320

Annals of Data Science, 2020, vol. 7, issue 2, No 1, 195-208

Abstract: Abstract In this article, a new method is suggested to expand a family of life distributions by adding an additional parameter. The new proposal may be named as the Zubair-G family of distributions. For this family, general expressions for some mathematical properties are derived. The maximum product spacing, ordinary least square and maximum likelihood methods are discussed to estimate the model parameters. A three-parameter special sub-model of the proposed family, called the Zubair–Weibull distribution is considered in detail. Its density function can be symmetrical, left-skewed, right-skewed, and has increasing, decreasing, bathtub and upside-down bathtub shaped failure rates. To illustrate the importance of the proposed family over the other well-known methods, two applications to real data sets are analyzed.

Keywords: Family of distributions; Weibull distribution; Moments; Order statistic; Residual life function; Estimation (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s40745-018-0169-9

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