Open Access
August 2016 The extended generalized half-normal distribution
Jeniffer J. Duarte Sanchez, Wanessa W. da Luz Freitas, Gauss M. Cordeiro
Braz. J. Probab. Stat. 30(3): 366-384 (August 2016). DOI: 10.1214/15-BJPS284


Fatigue is a structural damage which occurs when a material is exposed to stress and tension fluctuations. We propose and study the extended generalized half-normal distribution for modeling skewed fatigue life data. The new model contains as special cases the half-normal and generalized half-normal (Comm. Statist. Theory Methods 37 (2008) 1323–1337) distributions. Various of its structural properties are derived, including the density function, moments, quantile and generating functions, mean deviations and order statistics. We investigate maximum likelihood estimation of the model parameters. An application illustrates the potentiality of the new distribution.


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Jeniffer J. Duarte Sanchez. Wanessa W. da Luz Freitas. Gauss M. Cordeiro. "The extended generalized half-normal distribution." Braz. J. Probab. Stat. 30 (3) 366 - 384, August 2016.


Received: 1 March 2014; Accepted: 1 February 2015; Published: August 2016
First available in Project Euclid: 29 July 2016

zbMATH: 1381.62033
MathSciNet: MR3531689
Digital Object Identifier: 10.1214/15-BJPS284

Keywords: Exponentiated generalized class , generalized half-normal distribution , Kwmaraswamy model , maximum likelihood estimation , survival function

Rights: Copyright © 2016 Brazilian Statistical Association

Vol.30 • No. 3 • August 2016
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