Empirisk Bayes
Empirisk Bayes (EB) er en estimeringsstrategi, introduceret af Herbert Robbins i 1956 og udviklet til praktiske krympningsestimatorer af Bradley Efron og Carl Morris i 1973, hvor hyperparametrene for prior-fordelingen estimeres fra de observerede data via den marginale likelihood snarere end specificeres på forhånd. Den resulterende posterior bevarer en Bayesiansk struktur, men erstatter subjektive hyperparametre med datadrevne, hvilket bygger bro mellem frequentistisk krympning og fuld Bayesiansk inferens.
Læs hele metoden
Log ind med en gratis konto for at læse dette afsnit.
Method map
The neighbourhood of related methods — select a node to explore.
Kilder
- 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 ↗
- 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 ↗
- Carlin, B. P., & Louis, T. A. (2000). Bayes and Empirical Bayes Methods for Data Analysis (2nd ed.). Chapman & Hall/CRC. ISBN: 978-1584881704
- Efron, B., & Hastie, T. (2016). Computer Age Statistical Inference: Algorithms, Evidence, and Data Science. Cambridge University Press. ISBN: 978-1107149892
Sådan citerer du denne side
ScholarGate. (2026, June 3). Empirical Bayes Estimation. ScholarGate. https://scholargate.app/da/bayesian/empirical-bayes
Which method?
Set this method beside its closest kin and read them side by side — the library lays the books on the table; the choice is yours.
- Bayesiansk regressionBayesiansk↔ compare
- Markov Chain Monte Carlo (MCMC)Bayesiansk↔ compare
- Mixed Effects ModelStatistik↔ compare
- Ridge-regressionMaskinlæring↔ compare
Refereret af
Har du fundet en fejl på denne side? Indberet den eller foreslå en rettelse →