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Univariate parametric survival analysis using GS-distributions. (English) Zbl 1274.62654

Summary: The GS-distribution is a family of distributions that provide an accurate representation of any unimodal univariate continuous distribution. In this contribution we explore the utility of this family as a general model in survival analysis. We show that the survival function based on the GS-distribution is able to provide a model for univariate survival data and that appropriate estimates can be obtained. We develop some hypotheses tests that can be used for checking the underlying survival model and for comparing the survival of different groups.

MSC:

62N01 Censored data models
62N02 Estimation in survival analysis and censored data
62N03 Testing in survival analysis and censored data
62E17 Approximations to statistical distributions (nonasymptotic)
62P10 Applications of statistics to biology and medical sciences; meta analysis