Παραμετρικά μοντέλα επιβίωσης που προκύπτουν από μεταβολές της έντασης κινδύνου και του μέσου υπολειπόμενου χρόνου ζωής
On the additive and proportional hazards and mean residual lifetime models
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Subject
Life expectancy -- Statistics ; Mortality -- Statistical methods ; Στατιστική -- Οικονομετρικές μέθοδοι ; Στατιστική -- Επεξεργασία δεδομένων ; Στατιστική ανάλυσηAbstract
This diploma thesis concerns the study of parametric survival model which arise from changes in the hazard rate and mean residual life functions. In the first chapter, an introduction is provided too many specialized facets on survival analysis. In the second chapter, is considering the changes in the mean residual life function when a constant is added to the hazard rate function. The results are illustrated by some particular examples of life distributions. In the third chapter, the additive mean residual life model is defined. In order to study this model, the necessary relationships of stochastic orders are defined and discussed. In the final chapter, the proportional hazard rate model and the proportional mean residual life model have been introduced, under a few aging classes and stochastic orders.