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Empirijska Bayesova metoda

Empirijska Bayesova metoda (EB) jest strategija procjene, koju je 1956. uveo Herbert Robbins, a razvili su je u praktične skupljajuće procjenitelje (shrinkage estimators) Bradley Efron i Carl Morris 1973., u kojoj se hiperparametri prediktivne distribucije procjenjuju iz opaženih podataka putem marginalne vjerodostojnosti (marginal likelihood) umjesto da se unaprijed specificiraju. Rezultirajuća aposteriorna distribucija zadržava Bayesovsku strukturu, ali zamjenjuje subjektivne hiperparametre hiperparametrima vođenima podacima, premošćujući frekventističko skupljanje i potpunu Bayesovsku inferenciju.

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Izvori

  1. Robbins, H. (1956). An empirical Bayes approach to statistics. In J. Neyman (Ed.), Proceedings of the Third Berkeley Symposium on Mathematical Statistics and Probability, Vol. 1 (pp. 157–164). University of California Press. DOI: 10.1525/9780520313880-015
  2. Efron, B., & Morris, C. (1973). Stein's estimation rule and its competitors — An empirical Bayes approach. Journal of the American Statistical Association, 68(341), 117–130. DOI: 10.1080/01621459.1973.10481350
  3. Carlin, B. P., & Louis, T. A. (2000). Bayes and Empirical Bayes Methods for Data Analysis (2nd ed.). Chapman & Hall/CRC. ISBN: 978-1584881704
  4. Efron, B., & Hastie, T. (2016). Computer Age Statistical Inference: Algorithms, Evidence, and Data Science. Cambridge University Press. ISBN: 978-1107149892

Kako citirati ovu stranicu

ScholarGate. (2026, June 3). Empirical Bayes Estimation. ScholarGate. https://scholargate.app/hr/bayesian/empirical-bayes

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Citirana u

ScholarGateEmpirical Bayes (Empirical Bayes Estimation). Preuzeto 2026-06-15 s https://scholargate.app/hr/bayesian/empirical-bayes · Skup podataka: https://doi.org/10.5281/zenodo.20539026