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Bayesian methods

Bayes Empirikal

Bayes Empirikal (EB) ialah strategi anggaran, diperkenalkan oleh Herbert Robbins pada tahun 1956 dan dibangunkan menjadi anggaran pengecutan praktikal oleh Bradley Efron dan Carl Morris pada tahun 1973, di mana hiperparameter taburan keutamaan dianggarkan daripada data yang diperhatikan melalui kemungkinan marginal berbanding dinyatakan lebih awal. Posterior yang terhasil mengekalkan struktur Bayesian tetapi menggantikan hiperparameter subjektif dengan yang didorong data, merapatkan pengecutan frekuentis dan inferens Bayesian penuh.

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Sumber

  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

Cara memetik halaman ini

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

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ScholarGateEmpirical Bayes (Empirical Bayes Estimation). Dicapai 2026-06-15 daripada https://scholargate.app/ms/bayesian/empirical-bayes · Set data: https://doi.org/10.5281/zenodo.20539026