Dirichlet Process Hidden Markov Multiple Change-point Model

By S. Ko, Terence Tai-Leung Chong, Pulak Ghosh. 2015

57 citations recorded by the source corpus.

This paper proposes a new Bayesian multiple change-point model which is based on the hidden Markov approach. The Dirichlet process hidden Markov model does not require the specification of the number of change-points a priori. Hence our model is robust to model specification in contrast to the fully parametric Bayesian model. We propose a general Markov chain Monte Carlo algorithm which only needs to sample the states around change-points. Simulations for a normal mean-shift model with known and unknown variance demonstrate advantages of our approach. Two applications, namely the coal-mining disaster data and the real US GDP growth, are provided. We detect a single change-point for both the disaster data and US GDP growth. All the change-point locations and posterior inferences of the two applications are in line with existing methods.

Subfields: Artificial Intelligence, Demography, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/fa290a87f37fa4ec610881bca246192d9d77e1ec

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In Artificial Intelligence

  1. Nicolas Vayatis
  2. Laurent Oudre
  3. Charles Truong
  4. Shivani Agarwal
  5. Cynthia Rudin

In Demography

  1. Nicolas Vayatis
  2. Laurent Oudre
  3. Charles Truong

In Statistics and Probability

  1. Nicolas Vayatis
  2. Laurent Oudre
  3. Charles Truong

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