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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 ISSN 0266-4763.
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Official URL: http://dx.doi.org/10.1080/02664763.2015.1120710
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 | ||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||
Divisions: | Faculty of Science, Engineering and Medicine > 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: |
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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 | ||||||||
Date of first compliant deposit: | 24 February 2016 | ||||||||
Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||||||
Grant number: | EP/K007521/1 (EPSRC) |
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