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Survival and lifetime data analysis with a flexible class of distributions

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Rubio, Francisco J. and Hong, Yili (2016) Survival and lifetime data analysis with a flexible class of distributions. Journal of Applied Statistics, 43 (10). pp. 1794-1813. doi:10.1080/02664763.2015.1120710

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Official URL: http://dx.doi.org/10.1080/02664763.2015.1120710

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Abstract

We introduce a general class of continuous univariate distributions with positive support obtained by transforming the class of two-piece distributions. We show that this class of distributions is very flexible, easy to implement, and contains members that can capture different tail behaviours and shapes, producing also a variety of hazard functions. The proposed distributions represent a flexible alternative to the classical choices such as the log-normal, Gamma, and Weibull distributions. We investigate empirically the inferential properties of the proposed models through an extensive simulation study. We present some applications using real data in the contexts of time-to-event and accelerated failure time models. In the second kind of applications, we explore the use of these models in the estimation of the distribution of the individual remaining life.

Item Type: Journal Article
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Statistics
Library of Congress Subject Headings (LCSH): Distribution (Probability theory) -- Simulation methods, Logarithms
Journal or Publication Title: Journal of Applied Statistics
Publisher: Routledge
ISSN: 0266-4763
Official Date: 1 February 2016
Dates:
DateEvent
1 February 2016Available
12 November 2015Accepted
22 March 2015Submitted
Volume: 43
Number: 10
Page Range: pp. 1794-1813
DOI: 10.1080/02664763.2015.1120710
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access
Funder: Engineering and Physical Sciences Research Council (EPSRC)
Grant number: EP/K007521/1 (EPSRC)

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