Advanced search
Publication Cover
Journal of the American Statistical Association Volume 117, 2022 - Issue 539
Submit an article Journal homepage
1,736
Views
0
CrossRef citations to date
0
Altmetric
Theory and Methods Discussion

Nonparametric Empirical Bayes Prediction

Noel CressieSchool of Mathematics and Applied Statistics, University of Wollongong, Wollongong, NSW, AustraliaCorrespondence[email protected]
ORCID Iconhttps://orcid.org/0000-0002-0274-8050View further author information
ORCID Icon
Pages 1167-1170 | Published online: 12 Sep 2022

References

  • Cressie, N. (1982a), “A Useful Empirical Bayes Identity,” Annals of Statistics, 10, 625–629.
  • Cressie, N. (1982b), “Empirical Bayes Estimation for Discrete Distributions,” South African Journal of Statistics, 16, 25–37.
  • Cressie, N. (1993), Statistics for Spatial Data (rev. ed.), New York: Wiley.
  • Cressie, N., and Holland, P. W. (1983), “Characterizing the Manifest Probabilities of Latent Trait Models,” Psychometrika, 48, 129–141. DOI: 10.1007/BF02314681.
  • Cressie, N., and Seheult, A. (1985), “Empirical Bayes Estimation in Sampling Inspection,” Biometrika, 72, 451–458. DOI: 10.1093/biomet/72.2.451.
  • Cressie, N., and Wikle, C. K. (2011), Statistics for Spatio-Temporal Data, Hoboken, NJ: Wiley.
  • Efron, B. (2020), “Prediction, Estimation, and Attribution,” (with Discussion), Journal of the American Statistical Association, 115, 636–655. DOI: 10.1080/01621459.2020.1762613.
  • Harville, D. A., and Jeske, D. R. (1992), “Mean Squared Error of Estimation or Prediction Under a General Linear Model,” Journal of the American Statistical Association, 87, 724–731. DOI: 10.1080/01621459.1992.10475274.
  • Kuhnert, P. (2014), “Physical-Statistical Modelling,” Environmetrics, 25, 201–202. DOI: 10.1002/env.2276.
  • Lord, F. M., and Cressie, N. (1975), “An Empirical Bayes Procedure for Finding an Interval Estimate,” Sankhyā, Series B, 39, 1–9.
  • Maritz, J. S., and Lwin, T. (1975), “Construction of Simple Empirical Bayes Estimators,” Journal of the Royal Statistical Society, Series B, 39, 421–425. DOI: 10.1111/j.2517-6161.1975.tb01556.x.
  • Prasad, N. G. N., and Rao, J. N. K. (1990), “The Estimation of the Mean Squared Error of Small-Area Estimators,” Journal of the American Statistical Association, 85, 163–171. DOI: 10.1080/01621459.1990.10475320.
  • Robbins, H. (1956), “An Empirical Bayes Approach to Statistics,” in Proceedings of the Third Symposium on Mathematical Statistics and Probability, Vol. 1: Contributions to the Theory of Statistics, Berkeley, CA: University of California, pp. 157–163.
  • Sengupta, A., and Cressie, N. (2013), “Hierarchical Statistical Modeling of Big Spatial Datasets Using the Exponential Family of Distributions,” Spatial Statistics, 4, 14–44. DOI: 10.1016/j.spasta.2013.02.002.
  • Zellner, A. (1986), “Bayesian Estimation and Prediction using Asymmetric Loss Functions,” Journal of the American Statistical Association, 81, 446–451. DOI: 10.1080/01621459.1986.10478289.
  • Zimmerman, D., and Cressie, N. (1992), “Mean Squared Prediction Error in the Spatial Linear Model with Estimated Covariance Parameters,” Annals of the Institute of Statistical Mathematics, 44, 27–43. DOI: 10.1007/BF00048668.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.