مقایسهٔ روش‌ها

	استنتاج بیزی با داده‌های گمشده	استنتاج بیزی سلسله‌مراتبی
حوزه	بیزی	بیزی
خانواده	Bayesian methods	Bayesian methods
سال پیدایش	1976–1987	1972 (Lindley & Smith); consolidated 1995–2013
پدیدآور	Rubin, D. B. (missing-data mechanisms); Tanner & Wong (data augmentation)	Lindley & Smith; Gelman et al.
نوع	Bayesian probabilistic model	Bayesian multilevel model
منبع بنیادین	Little, R. J. A. & Rubin, D. B. (2002). Statistical Analysis with Missing Data (2nd ed.). Wiley-Interscience. ISBN: 978-0471183860	Gelman, A., Carlin, J. B., Stern, H. S., Dunson, D. B., Vehtari, A. & Rubin, D. B. (2013). Bayesian Data Analysis (3rd ed.). CRC Press. ISBN: 978-1439840955
نام‌های دیگر	Bayesian missing data analysis, Bayesian data augmentation, Bayesian imputation, missing data Bayesian model	multilevel Bayesian modeling, Bayesian hierarchical model, nested Bayesian model, partial pooling model
مرتبط	6	6
خلاصه	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.	Hierarchical Bayesian inference is a probabilistic modeling framework that organises parameters into levels, placing priors on the group-level parameters and hyperpriors on the parameters governing those priors. It enables partial pooling of information across groups, balancing the extremes of treating each group as independent or merging them into a single estimate.