JSM 2011 Online Program

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Abstract Details

Activity Number: 22
Type: Topic Contributed
Date/Time: Sunday, July 31, 2011 : 2:00 PM to 3:50 PM
Sponsor: Section on Bayesian Statistical Science
Abstract - #300947
Title: Analysis and Validation of Discrepancy Function Models
Author(s): Leonardo Soares Bastos*+
Companies: Fluminense Federal University
Address: , , International, , Brazil
Keywords: Gaussian process prior ; validation ; computer model
Abstract:

Simulators, also known as computer models, are mathematical representations of a real system implemented in a computer. The difference between a real system and its simulator is called the discrepancy function. Our beliefs about the discrepancy function is represented by a Gaussian process prior. After observing experimental data from the real system, our beliefs are represented by a discrepancy function model. In this work, some inference methods for discrepancy function models are reviewed and a set graphical and numerical diagnostics to validate a discrepancy function model is presented. The proposed methodology is illustrated on some toy examples.


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