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ROBUST ESTIMATION FOR EPIDEMIC MODELS
Authors:Ian C  Marschner
Institution:Dept. Statistics, La Trobe University, Bundoora, Vic. 3083, Australia.
Abstract:A robust approach to the analysis of epidemic data is suggested. This method is based on a natural extension of M-estimation for i.i.d. observations where the distribution may be asymmetric. It is discussed initially in the context of a general discrete time stochastic process before being applied to previously studied epidemic models. In particular we consider a class of chain binomial models and models based on time dependent branching processes. Robustness and efficiency properties are studied through simulation and some previously analysed data sets are considered.
Keywords:Chain binomial model  M-estimation  power series distribution  robustness  time dependent branching process
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