A bimodal flexible distribution for lifetime data. Issue 12 (12th August 2016)

• Record Type: Journal Article
• Authors: Ramires, Thiago G.; Ortega, Edwin M. M.; Cordeiro, Gauss M.; Hens, Niel
• Is Part Of: Journal of statistical computation and simulation. Volume 86:Issue 12(2016)
• Page Start: 2450
• Page End: 2470
• Publication Date: 2016-08-12
• Subjects: Bi-modality -- exponentiated sinh Cauchy distribution -- GAMLSS -- lifetime distribution; Mathematical statistics -- Data processing -- Periodicals; Digital computer simulation -- Periodicals; 519.5028505
• DOI: 10.1080/00949655.2015.1115047
• Languages: English
• ISSNs: 0094-9655

Abstract

ABSTRACT: A four-parameter extended bimodal lifetime model called the exponentiated log-sinh Cauchy distribution is proposed. It extends the log-sinh Cauchy and folded Cauchy distributions. We derive some of its mathematical properties including explicit expressions for the ordinary moments and generating and quantile functions. The method of maximum likelihood is used to estimate the model parameters. We implement the fit of the model in the GAMLSS package and provide the codes. The flexibility of the model is illustrated by means of three real data sets.