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Algebraic Statistics |
| December 15, 2008 to December 18, 2008 |
| Organized By: Serkan Hosten (SFSU), Lior Pachter (UCB), Bernd Sturmfels (UCB) |
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| Return to Workshop Description |
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Asymptotic Approximation of Marginal Likelihood Integrals
Wednesday December 17, 2008
01:30PM - 02:10PM
Speakers:
Shaowei Lin
Abstract:
The evaluation of marginal likelihood integrals is central to Bayesian
statistics. We study the asymptotics of these integrals for discrete
models using resolution of singularities from algebraic geometry, a
method introduced recently by Sumio Watanabe. We briefly describe the
statistical and mathematical foundations of this method, and explore
how Newton diagrams and toric modifications help solve the problem. The
approximations are then compared with exact computations of the
integrals.
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