Objective Bayesian Analysis for a Spatial Model with Nugget Effects

  title={Objective Bayesian Analysis for a Spatial Model with Nugget Effects},
  author={Cuirong Ren and Dongchu Sun and Zhuoqiong He},
Objective priors, especially reference priors, have been well-known for geostatistical data since Berger, et al. (2001). A long-standing problem is to develop objective Bayes inference for spatially correlated data with nugget effects. In this paper, objective priors for such cases are systematically studied. In addition to the Jeffreys priors and commonly used reference priors, two types of “exact” reference priors are derived based on improper marginal likelihoods, so an “equivalence” theorem… CONTINUE READING

From This Paper

Figures, tables, and topics from this paper.
3 Citations
11 References
Similar Papers


Publications referenced by this paper.
Showing 1-10 of 11 references

Theory of Probability

  • H. Jeffreys
  • Analysis. Water Resources Research,
  • 1961
Highly Influential
4 Excerpts

On the development of reference

  • J. O. Press. Berger, J. M. Bernardo
  • 1992
Highly Influential
8 Excerpts

Bayeisan Inference for Variance Components Using only Error

  • D. A. Harville
  • 1974
Highly Influential
3 Excerpts

Objective Bayesian Analysis for Spatio-Temporal Models

  • C. Ren, W. Ke, H. Lu
  • 2009
1 Excerpt

Statistical Methods for Spatial Data Analysis

  • O. Schabenberger, C. A. Gotway
  • International Journal of Intelligent Technology…
  • 2005
1 Excerpt

Bayesian Variogram Modeling for an Isotropic Spatial

  • M. D. Ecker, A. E. Gelfand
  • Gaussian Random Fields, Journal of the American…
  • 1997
2 Excerpts

Matrix From a Statistician’s Perspective

  • D. A. Harville
  • trasts, Biometrika,
  • 1997
2 Excerpts

Nonnegative Matrices and Applications

  • Spatial Data, Boca Raton Chapman, R. B. HallCRC. Bapat, S RaghavanT.E.
  • 1997

Similar Papers

Loading similar papers…