Bayesian influence analysis: a geometric approach.

@article{Zhu2011BayesianIA,
  title={Bayesian influence analysis: a geometric approach.},
  author={Hongtu Zhu and Joseph G. Ibrahim and Niansheng Tang},
  journal={Biometrika},
  year={2011},
  volume={98 2},
  pages={307-323}
}
In this paper we develop a general framework of Bayesian influence analysis for assessing various perturbation schemes to the data, the prior and the sampling distribution for a class of statistical models. We introduce a perturbation model to characterize these various perturbation schemes. We develop a geometric framework, called the Bayesian perturbation manifold, and use its associated geometric quantities including the metric tensor and geodesic to characterize the intrinsic structure of… CONTINUE READING