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Title: | Flexible two-piece distributions for right censored survival data | Authors: | EWNETU, Worku Biyadgie Gijbels, Irene VERHASSELT, Anneleen |
Issue Date: | 2023 | Publisher: | SPRINGER | Source: | Lifetime data analysis, 29 (1), p. 34-65 | Abstract: | An important complexity in censored data is that only partial information on the variables of interest is observed. In recent years, a large family of asymmetric distributions and maximum likelihood estimation for the parameters in that family has been studied, in the complete data case. In this paper, we exploit the appealing family of quantile-based asymmetric distributions to obtain flexible distributions for modelling right censored survival data. The flexible distributions can be generated using a variety of symmetric distributions and monotonic link functions. The interesting feature of this family is that the location parameter coincides with an index-parameter quantile of the distribution. This family is also suitable to characterize different shapes of the hazard function (constant, increasing, decreasing, bathtub and upside-down bathtub or unimodal shapes). Statistical inference is done for the whole family of distributions. The parameter estimation is carried out by optimizing a non-differentiable likelihood function. The asymptotic properties of the estimators are established. The finite-sample performance of the proposed method and the impact of censorship are investigated via simulations. Finally, the methodology is illustrated on two real data examples (times to weaning in breast-fed data and German Breast Cancer data). | Notes: | Verhasselt, A (corresponding author), Hasselt Univ, Ctr Stat, Data Sci Inst, Hasselt, Belgium. anneleen.verhasselt@uhasselt.be |
Keywords: | Censored data;Complete data;Flexible distributions;Hazard function;Maximum likelihood;Quantile | Document URI: | http://hdl.handle.net/1942/38675 | ISSN: | 1380-7870 | e-ISSN: | 1572-9249 | DOI: | 10.1007/s10985-022-09574-4 | ISI #: | 000855586300001 | Rights: | The Author(s), under exclusive licence to Springer Science+Business Media, LLC, part of Springer Nature 2022 | Category: | A1 | Type: | Journal Contribution | Validations: | ecoom 2023 |
Appears in Collections: | Research publications |
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Flexible two-piece distributions for right censored survival data.pdf Restricted Access | Published version | 786.22 kB | Adobe PDF | View/Open Request a copy |
EGVmain (1).pdf | Peer-reviewed author version | 1.6 MB | Adobe PDF | View/Open |
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