Document Type
Article
Language
eng
Publication Date
2016
Publisher
Hacettepe University, Department of Mathematics
Source Publication
Hacettepe Journal of Mathematics and Statistics
Source ISSN
1303-5010
Abstract
Statistical analysis of lifetime data is an important topic in reliability engineering, biomedical and social sciences and others. We introduce a new generator based on the Weibull random variable called the new Weibull-G family. We study some of its mathematical properties. Its density function can be symmetrical, left-skewed, right-skewed, bathtub and reversed-J shaped, and has increasing, decreasing, bathtub, upside-down bathtub, J, reversed-J and S shaped hazard rates. Some special models are presented. We obtain explicit expressions for the ordinary and incomplete moments, quantile and generating functions, Renyi entropy, order statistics and reliability. Three useful characterizations based on truncated moments are also proposed for the new family. The method of maximum likelihood is used to estimate the model parameters. We illustrate the importance of the family by means of two applications to real data sets.
Recommended Citation
Tahir, M. H.; Zubair, Muhammad; Mansoor, M.; Cordeiro, Gauss M.; Alizadeh, Morad; and Hamedani, Gholamhossein, "A New Weibull-G Family of Distributions" (2016). Mathematics, Statistics and Computer Science Faculty Research and Publications. 562.
https://epublications.marquette.edu/mscs_fac/562
Comments
Published version. Hacettepe Journal of Mathematics and Statistics, Vol. 45, No. 2 (2016): 629-647. DOI. © 2016 Hacettepe University, Department of Mathematics.