A new generalization of the Marshall–Olkin Gompertz distribution

Shahram Yaghoobzadeh ()
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Shahram Yaghoobzadeh: Payame Noor University

International Journal of System Assurance Engineering and Management, 2017, vol. 8, issue 2, No 81, 1580-1587

Abstract: Abstract In this paper, a new distribution of the four-parameter lifetime model called the Marshall–Olkin Gompertz is proposed on the basis of the Gompertz distribution. It is a generalization of the Marshall–Olkin Gompertz distribution having constant failure rate and can also be constant, decreasing, increasing unimodal and bathtub-shaped depending on its parameters. Some mathematical properties of this model such as the probability density function, cumulative distribution function, hazard rate function, central moments, moments of order statistics, Renyi and Shannon entropies and quantile function are derived. In addition, the maximum likelihood of its parameters method is estimated and this new distribution compared with some Gompertz distribution generalizations by means of a set of real data.

Keywords: Gompertz distribution; Failure rate function; Moments; Maximum likelihood estimation; Generalized Marshall–Olkin Gompertz distribution (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13198-017-0630-8

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