Μοντέλο ανάλυσης επιβίωσης για πολλαπλούς τρόπους αποτυχίας
A survival model for multiple mode failures

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Ανάλυση επιβίωσηςAbstract
Survival analysis provides a set of statistical methods for data analysis when the variable under consideration is the time up to an event of interest usually called failure (time to event analysis). This MSc thesis presents the methods for the study of the cases where multiple modes of failures are recorded (competed risks models). At the first chapter the basic definitions are given and the most important methods of survival analysis are presented. The second chapter describes the survival model with multiple modes of failure and the likelihood function is given. The third, fourth, and fifth chapter include the nonparametric, parametric and semiparametric methods respectively for studying such data. The theoretical methods are supported by numerical examples. In the sixth and last chapter we have an application with empirical data.