MATHEMATICAL PROPERTIES AND APPLICATIONS OF MINIMUM GUMBEL BURR DISTRIBUTION
2020 ◽
Vol XVII
(2)
◽
pp. 1-14
Keyword(s):
This paper presents the details of a proposed continuous model for the minimum Gumbel Burr distribution which is based on four different parameters. The model is obtained by compounding the Gumbel type-II and Burr-XII distributions. Basic mathematical properties of the new distribution were studied including the quantile function, ordinary and incomplete moments, moment generating function, order statistics, Rényi entropy, stress-strength model and stochastic ordering. The parameters of the proposed distribution are estimated using the maximum likelihood method. A Monte Carlo simulation was presented to examine the behaviour of the parameter estimates. The flexibility of the proposed model was assessed by means of three applications.
2019 ◽
pp. 1-15
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2019 ◽
pp. 161-178
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2020 ◽
Vol 8
(10)
◽
pp. 236-248
2021 ◽
Vol 3
(2)
◽
pp. 81-94