Abstract
In Chap. 3 the correlation and precision parameters are completely unknown for the process model assumed to generate simulator output. In contrast this chapter assumes that the researcher has prior knowledge about the unknown parameters that is quantifiable in the form of a prior distribution.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Andrieu C, Thoms J (2008) A tutorial on adaptive MCMC. Stat Comput 18(4): 343–373
Gelman A, Carlin J, Stern H, Dunson D, Vehtari A, Rubin D (2013) Bayesian data analysis. Chapman & Hall/CRC, Boca Raton, FL
Graves TL (2011) Automatic step size selection in random walk Metropolis algorithms. Technical report LA-UR-11-01936, Los Alamos National Laboratory, Los Alamos, NM
Haario H, Laine M, Mira A, Saksman E (2006) DRAM: efficient adaptive MCMC. Stat Comput 16(4):339–354
Handcock MS, Stein ML (1993) A Bayesian analysis of kriging. Technometrics 35:403–410
Jeffreys H (1961) Theory of probability. Oxford University Press, New York, NY
Montgomery GP, Truss LT (2001) Combining a statistical design of experiments with formability simulations to predict the formability of pockets in sheet metal parts. Technical report 2001-01-1130, Society of Automotive Engineers
Oakley JE (2002) Eliciting Gaussian process priors for complex computer codes. Statistician 51:81–97
Zimmerman DL, Cressie NA (1992) Mean squared prediction error in the spatial linear model with estimated covariance parameters. Ann Inst Stat Math 44:27–43
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Science+Business Media, LLC, part of Springer Nature
About this chapter
Cite this chapter
Santner, T.J., Williams, B.J., Notz, W.I. (2018). Bayesian Inference for Simulator Output. In: The Design and Analysis of Computer Experiments. Springer Series in Statistics. Springer, New York, NY. https://doi.org/10.1007/978-1-4939-8847-1_4
Download citation
DOI: https://doi.org/10.1007/978-1-4939-8847-1_4
Published:
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4939-8845-7
Online ISBN: 978-1-4939-8847-1
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)