Brazilian Journal of Probability and Statistics

The extended generalized half-normal distribution

Jeniffer J. Duarte Sanchez, Wanessa W. da Luz Freitas, and Gauss M. Cordeiro

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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.

Article information

Braz. J. Probab. Stat., Volume 30, Number 3 (2016), 366-384.

Received: March 2014
Accepted: February 2015
First available in Project Euclid: 29 July 2016

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Zentralblatt MATH identifier

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


Duarte Sanchez, Jeniffer J.; da Luz Freitas, Wanessa W.; Cordeiro, Gauss M. The extended generalized half-normal distribution. Braz. J. Probab. Stat. 30 (2016), no. 3, 366--384. doi:10.1214/15-BJPS284.

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