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Stochastic modeling of carcinogenesis: State space models and estimation of parameters
In this paper we have developed
a state space model for carcinogenesis. By using this state space
model we have also developed statistical procedures to estimate
the unknown parameters via multi-level Gibbs sampling method. We
have applied this model and the methods to the British physician
data on lung cancer with smoking. Our results indicate that the
tobacco nicotine is an initiator. If $t > 60$ years old, then the
tobacco nicotine is also
a promoter.