A new family of generalized distributions
Citations
694 citations
Cites background from "A new family of generalized distrib..."
...(1.11) Several generalized distributions from (1.11) have been studied in the literature including the Kumaraswamy Weibull distribution by Cordeiro et al. [7], the Kumaraswamy generalized gamma distribution by de Castro et al. [9], and the Kumaraswamy generalized half-normal distribution by Cordeiro et al. [8]....
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...Recently, Jones [22] and Cordeiro and de Castro [6] extended the beta-generated family of distributions by replacing the beta distribution in (1....
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...Recently, Jones [22] and Cordeiro and de Castro [6] extended the beta-generated family of distributions by replacing the beta distribution in (1.9) with the Kumaraswamy distribution, b(t) = αβxα−1(1 − xα)β−1, x ∈ (0, 1), Kumaraswamy [25]....
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Cites background from "A new family of generalized distrib..."
...For instance, the Beta-Birnbaum Saunders distribution introduced by Cordeiro and Lemonte (2011) is a special case of the generalized beta Birnbaum-Saunders distribution, which has the classical Birnbaum and Saunders (1969) distribution as parent....
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159 citations
Cites background or methods from "A new family of generalized distrib..."
...We adopt a different approach to much of the literature so far: rather than considering the classical beta generator [3] or the Kumaraswamy generator [4] applied to a baseline distribution, we propose the use of a more flexible McDonald generator applied to the Lomax distribution....
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...The class of distributions (2) includes two important special sub-classes: the beta generalized distributions [3] for c = 1 and the Kumaraswamy generalized distributions [4] for a = c....
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References
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3,876 citations
"A new family of generalized distrib..." refers background in this paper
...In reliability and life testing experiments, many times the data are modelled by finite-range distributions, see, for example, [10]....
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2,668 citations
2,470 citations
"A new family of generalized distrib..." refers background in this paper
...Further, the KwN distribution with a = 2 and b = 1 coincides with the skew normal distribution with the shape parameter equal to one [13]....
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2,386 citations
"A new family of generalized distrib..." refers methods in this paper
...Numerical maximization of the log-likelihood above is accomplished by using the RS method 18 available in the gamlss package 14 in R Development Core Team 19 ....
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