مقایسهٔ روش‌ها

	محاسبات بیزی تقریبی با داده‌های گمشده	استنتاج بیزی با داده‌های گمشده
حوزه	بیزی	بیزی
خانواده	Bayesian methods	Bayesian methods
سال پیدایش	2002 (ABC); 1987 (missing data theory)	1976–1987
پدیدآور	Beaumont, Zhang & Balding (ABC); Rubin (missing data framework)	Rubin, D. B. (missing-data mechanisms); Tanner & Wong (data augmentation)
نوع	likelihood-free Bayesian inference	Bayesian probabilistic model
منبع بنیادین	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
نام‌های دیگر	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
مرتبط	6	6
خلاصه	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.