2019
DOI: 10.1590/0001-3765201920180040
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Abstract: We introduce a new class of continuous distributions called the generalized odd Lindley-G family. Four special models of the new family are provided. Some explicit expressions for the quantile and generating functions, ordinary and incomplete moments, order statistics and Rényi and Shannon entropies are derived. The maximum likelihood method is used for estimating the model parameters. The flexibility of the generated family is illustrated by means of two applications to real data sets.

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Cited by 11 publications
(2 citation statements)
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“…Defensible data require the use of a model that is su ciently tted within its framework (see Dutta and Perry [15]). Many researchers have adopted new families of distributions (see Ahmad et al [16], Ahmad et al [17], Nasir et al [18], Jamal and Nasir [19], Al-Mo eh [20], A fy et al [21], A fy and Alizadeh [22], and Cordeiro et al [23]). In this article, the new method of generalized U-family is used to propose an extended class of statistical models.…”
Section: Introductionmentioning
confidence: 99%
“…Defensible data require the use of a model that is su ciently tted within its framework (see Dutta and Perry [15]). Many researchers have adopted new families of distributions (see Ahmad et al [16], Ahmad et al [17], Nasir et al [18], Jamal and Nasir [19], Al-Mo eh [20], A fy et al [21], A fy and Alizadeh [22], and Cordeiro et al [23]). In this article, the new method of generalized U-family is used to propose an extended class of statistical models.…”
Section: Introductionmentioning
confidence: 99%
“…To overcome the problems associated with the above former methods, many authors have proposed new families of distributions, see, for example, Al-Mofleh [23], Jamal and Nasir [24] and Nasir et al [25], Ahmad et al [26], Afify et al [27], Cordeiro et al [28], Ahmad et al [29], Afify and Alizadeh [30], and among many others. erefore, bringing flexibility to the existing distributions by adding additional parameter(s) is a desirable feature and an interesting research topic.…”
Section: Introductionmentioning
confidence: 99%