Joint distribution properties of Fully Conditional Specification under the normal linear model with normal inverse-gamma priors

التفاصيل البيبلوغرافية
العنوان: Joint distribution properties of Fully Conditional Specification under the normal linear model with normal inverse-gamma priors
المؤلفون: Cai, Mingyang, van Buuren, Stef, Vink, Gerko
سنة النشر: 2022
المجموعة: Mathematics
Statistics
مصطلحات موضوعية: Statistics - Computation, Mathematics - Statistics Theory
الوصف: Fully conditional specification (FCS) is a convenient and flexible multiple imputation approach. It specifies a sequence of simple regression models instead of a potential complex joint density for missing variables. However, FCS may not converge to a stationary distribution. Many authors have studied the convergence properties of FCS when priors of conditional models are non-informative. We extend to the case of informative priors. This paper evaluates the convergence properties of the normal linear model with normal-inverse gamma prior. The theoretical and simulation results prove the convergence of FCS and show the equivalence of prior specification under the joint model and a set of conditional models when the analysis model is a linear regression with normal inverse-gamma priors.
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2208.12930
رقم الأكسشن: edsarx.2208.12930
قاعدة البيانات: arXiv