the exponentiated half-logistic family of distributions: properties and applications

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ID: 251689
2014
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Abstract
We study some mathematical properties of a new generator of continuous distributions with two extra parameters called the exponentiated half-logistic family. We present some special models. We investigate the shapes of the density and hazard rate function. We derive explicit expressions for the ordinary and incomplete moments, quantile and generating functions, probability weighted moments, Bonferroni and Lorenz curves, Shannon and Rényi entropies, and order statistics, which hold for any baseline model. We introduce two bivariate extensions of this family. We discuss the estimation of the model parameters by maximum likelihood and demonstrate the potentiality of the new family by means of two real data sets.
Reference Key
cordeiro2014journalthe Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Gauss M. Cordeiro;Morad Alizadeh;Edwin M. M. Ortega
Journal nature protocols
Year 2014
DOI
10.1155/2014/864396
URL
http://dx.doi.org/10.1155/2014/864396
Keywords
probabilities mathematical statistics

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