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Bayesian methods

Empirical Bayes

Empirical Bayes (EB) on on hindamisstrateegia, mille võttis 1956. aastal kasutusele Herbert Robbins ning mille Bradley Efron ja Carl Morris arendasid 1973. aastal praktilisteks kahanevateks estimaatoriteks. Selle strateegia puhul hinnatakse eelnevate jaotuste hüperparameetreid vaadeldud andmete põhjal marginaalse tõenäosuse kaudu, mitte ei määrata neid ette. Tulemuseks olev tagumine jaotus säilitab bayesilikku struktuuri, kuid asendab subjektiivsed hüperparameetrid andmepõhistega, ühendades sageduslikkuse kahandamise ja täieliku bayesiliku järelduse.

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Allikad

  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

Kuidas sellele lehele viidata

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

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Sellele viitavad

ScholarGateEmpirical Bayes (Empirical Bayes Estimation). Loetud 2026-06-15 aadressilt https://scholargate.app/et/bayesian/empirical-bayes · Andmestik: https://doi.org/10.5281/zenodo.20539026