題 目：Mathematical Analysis and Some New Innovative Approaches for
Modeling Stochastic Models of Carcinogenesis
主講人：譚外元教授 (University of Memphis, USA)
時 間：101年11月19日(星期一)下午13:20-14:10
地 點：交大綜合一館427室
Abstract
In this lecture, we first present the traditional Markov mathematical
analyses of stochastic models (see Tan 1991, Little 2008, Zheng 2008) and
then discuss some difficulties and drawbacks of these approaches. To overcome
these difficulties, we then present some new innovative approaches and
methods to analyze complex stochastic models of carcinogenesis. These new
approaches include stochastic difference and differential equations, State
space modeling and Kalman filter method, data augmentation method, Mixture
modeling, Generalized Bayesian approach and Gibbs sampling. We illustrate
these methods and approaches by using some lung cancer and smoking data.
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