Bayesian Multiscale Models for Poisson Processes

  title={Bayesian Multiscale Models for Poisson Processes},
  author={E. Kolaczyk},
  journal={Journal of the American Statistical Association},
  • E. Kolaczyk
  • Published 1999
  • Mathematics
  • Journal of the American Statistical Association
  • Abstract I introduce a class of Bayesian multiscale models (BMSM's) for one-dimensional inhomogeneous Poisson processes. The focus is on estimating the (discretized) intensity function underlying the process. Unlike the usual transform-based approach at the heart of most wavelet-based methods for Gaussian data, these BMSM's are constructed using recursive dyadic partitions (RDP's) within an entirely likelihood-based framework. Each RDP may be associated with a binary tree, and a new multiscale… CONTINUE READING
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