قارن الطرق

	الحساب التقريبي بايزي مع البيانات المفقودة	الاستمثال البايزي المتسلسل مع البيانات المفقودة
المجال	بايزي	بايزي
العائلة	Bayesian methods	Bayesian methods
سنة النشأة	2002 (ABC); 1987 (missing data theory)	1987
صاحب الطريقة	Beaumont, Zhang & Balding (ABC); Rubin (missing data framework)	Tanner & Wong (data augmentation); extended by Gelfand & Smith, Rubin
النوع	likelihood-free Bayesian inference	Bayesian computational method
المصدر التأسيسي	Beaumont, M. A., Zhang, W. & Balding, D. J. (2002). Approximate Bayesian computation in population genetics. Genetics, 162(4), 2025–2035.	Little, R. J. A. & Rubin, D. B. (2002). Statistical Analysis with Missing Data (2nd ed.). Wiley. ISBN: 978-0471183860
الأسماء البديلة	ABC with missing data, likelihood-free inference with missing data, simulation-based inference for incomplete data, ABC-MD	MCMC missing data, data augmentation MCMC, Bayesian multiple imputation, MCMC imputation
ذات صلة	6	6
الملخص	Approximate Bayesian Computation with missing data extends the likelihood-free ABC framework to settings where observations are incomplete or partially recorded. By simulating data under a posited model and accepting parameter draws whose simulated summary statistics are close to the observed ones, it bypasses the need to evaluate an intractable likelihood — even when some data values are absent.	MCMC with missing data is a Bayesian computational strategy that treats unobserved values as additional unknown parameters. By alternating between sampling the missing values from their predictive distribution and sampling the model parameters from their posterior, the algorithm produces a valid joint posterior that fully accounts for uncertainty introduced by the missingness.