قارن الطرق

	الاستدلال البايزي مع البيانات المفقودة	الحساب التقريبي بايزي مع البيانات المفقودة
المجال	بايزي	بايزي
العائلة	Bayesian methods	Bayesian methods
سنة النشأة	1976–1987	2002 (ABC); 1987 (missing data theory)
صاحب الطريقة	Rubin, D. B. (missing-data mechanisms); Tanner & Wong (data augmentation)	Beaumont, Zhang & Balding (ABC); Rubin (missing data framework)
النوع	Bayesian probabilistic model	likelihood-free Bayesian inference
المصدر التأسيسي	Little, R. J. A. & Rubin, D. B. (2002). Statistical Analysis with Missing Data (2nd ed.). Wiley-Interscience. ISBN: 978-0471183860	Beaumont, M. A., Zhang, W. & Balding, D. J. (2002). Approximate Bayesian computation in population genetics. Genetics, 162(4), 2025–2035.
الأسماء البديلة	Bayesian missing data analysis, Bayesian data augmentation, Bayesian imputation, missing data Bayesian model	ABC with missing data, likelihood-free inference with missing data, simulation-based inference for incomplete data, ABC-MD
ذات صلة	6	6
الملخص	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.	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.