Reflected Generalized Beta Inverse Weibull Distribution: definition and properties

Ibrahim Elbatal (), Francesca Condino () and Filippo Domma ()
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Ibrahim Elbatal: Cairo University
Francesca Condino: University of Calabria
Filippo Domma: University of Calabria

Sankhya B: The Indian Journal of Statistics, 2016, vol. 78, issue 2, No 5, 316-340

Abstract: Abstract In this paper, we study a broad class of distribution functions which is defined by means of reflected generalized beta distribution. This class includes that of Beta-generated distribution as a special case. In particular, we use this class to extend the Inverse Weibull distribution in order to obtain the Reflected Generalized Beta Inverse Weibull Distribution. For this new distribution, moments, entropy and a reliability measure are derived. The link between the Inverse Weibull and the Dagum distribution is generalized. Then the maximum likelihood estimators of the parameters are examined and the observed Fisher information matrix provided. Finally, the usefulness of the model is illustrated by means of two applications to real data.

Keywords: Moments; Entropy; Reliability; Bimodal distribution; Compound distribution; Primary 60E05; Secondary 62E20 (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s13571-015-0114-2

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