قارن الطرق

	الحساب التقريبي بايزي مع البيانات المفقودة	الاستدلال البايزي مع البيانات المفقودة
المجال	بايزي	بايزي
العائلة	Bayesian methods	Bayesian methods
سنة النشأة	2002 (ABC); 1987 (missing data theory)	1976–1987
صاحب الطريقة	Beaumont, Zhang & Balding (ABC); Rubin (missing data framework)	Rubin, D. B. (missing-data mechanisms); Tanner & Wong (data augmentation)
النوع	likelihood-free Bayesian inference	Bayesian probabilistic model
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-Interscience. ISBN: 978-0471183860
الأسماء البديلة	ABC with missing data, likelihood-free inference with missing data, simulation-based inference for incomplete data, ABC-MD	Bayesian missing data analysis, Bayesian data augmentation, Bayesian imputation, missing data Bayesian model
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.	Bayesian inference with missing data treats unobserved values as unknown parameters and integrates them out of the posterior distribution. Rather than deleting or ad hoc imputing incomplete records, the method jointly models observed and missing data under an explicit missing-data mechanism, producing fully calibrated posterior uncertainty that honestly reflects what the data cannot tell us.