A0844
Title: Parametric distributions for survival analysis, a review and historical sketch
Authors: Nanami Taketomi - Graduate school of Kurume University (Japan) [presenting]
Kazuki Yamamoto - Graduate school of Kurume University (Japan)
Christophe Chesneau - University of Caen Normandie (France)
Takeshi Emura - The Institute of Statistical Mathematics (Japan)
Abstract: During its 330 years of history, parametric distributions have been useful for survival analysis. A lot of parametric distributions have ever been proposed and used in the medical and other fields. The historical backgrounds and statistical properties of some parametric distributions used in survival analysis are comprehensively reviewed. It is explained how the important parametric distributions have been adopted in survival analysis with original and state-of-the-art references. The exponential, Weibull, lognormal, Pareto (types I, II, and IV), and Gompertz distributions are mainly covered. These distributions may be useful to the medical data. Finally, the examples of applying the parametric distributions are shown to real datasets.
