کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
5129414 1489643 2017 9 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Exactly and almost compatible joint distributions for high-dimensional discrete conditional distributions
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز عددی
پیش نمایش صفحه اول مقاله
Exactly and almost compatible joint distributions for high-dimensional discrete conditional distributions
چکیده انگلیسی

A conditional model is a set of conditional distributions, which may be compatible or incompatible, depending on whether or not there exists a joint distribution whose conditionals match the given conditionals. In this paper, we propose a new mathematical tool called a “structural ratio matrix” (SRM) to develop a unified compatibility approach for discrete conditional models. With this approach, we can find all joint pdfs after confirming that the given model is compatible. In practice, it is most likely that the conditional models we encounter are incompatible. Therefore, it is important to investigate approximated joint distributions for them. We use the concept of SRM again to construct an almost compatible joint distribution, with consistency property, to represent the given incompatible conditional model.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Multivariate Analysis - Volume 157, May 2017, Pages 115-123
نویسندگان
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