Tightness of probability measures on function spaces
نویسندگان
چکیده
منابع مشابه
compactifications and function spaces on weighted semigruops
chapter one is devoted to a moderate discussion on preliminaries, according to our requirements. chapter two which is based on our work in (24) is devoted introducting weighted semigroups (s, w), and studying some famous function spaces on them, especially the relations between go (s, w) and other function speces are invesigated. in fact this chapter is a complement to (32). one of the main fea...
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Decomposable models and Bayesian net works can be defined as sequences of oligo dimensional probability measures connected with opemtors of composition. The prelim inary results suggest that the probabilistic models allowing for effective computational procedures are represented by sequences pos sessing a special property; we shall call them perfect sequences. The present paper lays down th...
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Given two metric spaces S1, S2 and a measurable function f : S1 → S2, sup pose S1 is equipped with some probability measure P. This induces a proba bility measure on S2 which is denoted by Pf−1 and is defined by Pf−1(A) = P(f−1(A)) for every measurable set A ⊂ S2. Then for any random variable X : S2 → R, its expectation EPf−1 [X] is equal to EP[X(f)]. (Convince your self that this is the cas...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2009
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2008.12.037