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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
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: |
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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 | ||||||||
| Funder: | Engineering and Physical Sciences Research Council (EPSRC) | ||||||||
| Grant number: | EP/K007521/1 (EPSRC) |
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