Parameter estimation of Gaussian hierarchical model using Gibbs sampling Public Deposited

http://ir.library.oregonstate.edu/concern/graduate_thesis_or_dissertations/8p58ph986

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  • Gibbs sampling method is an important tool used in parameter estimation for many probabilistic models. Specifically, for many scenarios, it is difficult to generate high-dimensional data samples from its joint distribution. The Gibbs sampling provides a way to draw high-dimensional data via the conditional distributions which are typically easier to sample. In this thesis, we study a simple generative model called Hierarchical Gaussian and an efficient method for computing its parameters using Gibbs sampling. In particular, we show that the Hierarchical Gaussian model admits closed form conditional distributions such that Gibbs sampling can be used effectively to draw the samples from the joint distribution, and perform parameter estimation.
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  • description.provenance : Submitted by Juliana Mbuthia (mbuthiaj@onid.orst.edu) on 2014-08-05T16:07:48Z No. of bitstreams: 1 MbuthiaJulianaW2014.pdf: 1043843 bytes, checksum: c6e993d29577d54793602e14fdb16dcd (MD5)
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  • description.provenance : Approved for entry into archive by Julie Kurtz(julie.kurtz@oregonstate.edu) on 2014-08-13T16:22:24Z (GMT) No. of bitstreams: 1 MbuthiaJulianaW2014.pdf: 590947 bytes, checksum: 6b6f440af83142ad6814e066aa31369f (MD5)
  • description.provenance : Submitted by Juliana Mbuthia (mbuthiaj@onid.orst.edu) on 2014-08-13T02:46:34Z No. of bitstreams: 1 MbuthiaJulianaW2014.pdf: 590947 bytes, checksum: 6b6f440af83142ad6814e066aa31369f (MD5)
  • description.provenance : Approved for entry into archive by Laura Wilson(laura.wilson@oregonstate.edu) on 2014-08-13T18:13:06Z (GMT) No. of bitstreams: 1 MbuthiaJulianaW2014.pdf: 590947 bytes, checksum: 6b6f440af83142ad6814e066aa31369f (MD5)
  • description.provenance : Rejected by Julie Kurtz(julie.kurtz@oregonstate.edu), reason: Rejecting to make revisions to the following - 1) Change Masters of Science to Master of Science, everywhere it appears 2) Change date from August 1, 2014 to June 4, 2014, everywhere it appears 3) Change commencement date on the bottom of the title page to June 2015 4) Bibliography's second page has the wrong heading - List of Appendix Tables, remove this. Once revised, log back into ScholarsArchive and go to the upload page and upload the new PDF. Thanks, Julie on 2014-08-05T18:37:38Z (GMT)

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