کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
4599175 1631122 2015 21 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
On the causal interpretation of acyclic mixed graphs under multivariate normality
ترجمه فارسی عنوان
در تفسیر علیت گرافهای مختلط آسیلیکلی تحت عادی چند متغیره
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات اعداد جبر و تئوری
چکیده انگلیسی

In multivariate statistics, acyclic mixed graphs with directed and bidirected edges are widely used for compact representation of dependence structures that can arise in the presence of hidden (i.e., latent or unobserved) variables. Indeed, under multivariate normality, every mixed graph corresponds to a set of covariance matrices that contains as a full-dimensional subset the covariance matrices associated with a causally interpretable acyclic digraph. This digraph generally has some of its nodes corresponding to hidden variables. We seek to clarify for which mixed graphs there exists an acyclic digraph whose hidden variable model coincides with the mixed graph model. Restricting to the tractable setting of chain graphs and multivariate normality, we show that decomposability of the bidirected part of the chain graph is necessary and sufficient for equality between the mixed graph model and some hidden variable model given by an acyclic digraph.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Linear Algebra and its Applications - Volume 473, 15 May 2015, Pages 93–113
نویسندگان
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