Degree Name
MS (Master of Science)
Program
Mathematical Sciences
Date of Award
5-2005
Committee Chair or Co-Chairs
Don Hong
Committee Members
Tiejian Wu, Robert B. Gardner, Jeff R. Knisley
Abstract
Lung cancer is the most frequent fatal cancer in the United States. Following the notion in actuarial math analysis, we assume an exponential form for the baseline hazard function and combine Cox proportional hazard regression for the survival study of a group of lung cancer patients. The covariates in the hazard function are estimated by maximum likelihood estimation following the proportional hazards regression analysis. Although the proportional hazards model does not give an explicit baseline hazard function, the baseline hazard function can be estimated by fitting the data with a non-linear least square technique. The survival model is then examined by a neural network simulation. The neural network learns the survival pattern from available hospital data and gives survival prediction for random covariate combinations. The simulation results support the covariate estimation in the survival model.
Document Type
Thesis - unrestricted
Recommended Citation
Yuan, Xingchen, "Survival Model and Estimation for Lung Cancer Patients." (2005). Electronic Theses and Dissertations. Paper 1002. https://dc.etsu.edu/etd/1002
Copyright
Copyright by the authors.