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Doctoral Thesis
2007
Cox-Type regression and transformation models with change-points based on covariate thresholds
Cox-Type regression and transformation models with change-points based on covariate thresholds
Abstract (English)
In this thesis we consider Cox-type regression models and transformation models for right-censored survival time data with bent-line change-points in the underlying regression functions according to covariate thresholds. We establish the usual asymptotic properties of the estimates such as √(n) consistency and asymptotic normality. Furthermore, we applied the Cox regression model with change-points to different data sets.
Abstract (German)
Die Dissertation beinhaltet Cox Regressionsmodelle und ein lineares Transformationsmodell für rechtszensierte Lebensdauerdaten mit Change-Points in der zugrunde liegenden Regressionsfunktion. Wir zeigen die üblichen asymptotischen Eigenschaften der Schätzer wie √(n) Konsistenz und asymptotische Normalität. Weiterhin wenden wir das Cox Regressionsmodell mit Change-Points auf verschiedene Datensätze an.
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Faculty
Faculty of Natural Sciences
Institute
Institute of Applied Mathematics and Statistics
Examination date
2007-12-19
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Language
English
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Classification (DDC)
510 Mathematics