Spatializing Random Measures: Doubly Indexed Processes and the Large Deviation Principle
نویسندگان
چکیده
منابع مشابه
Spatializing Random Measures: Doubly Indexed Processes and the Large Deviation Principle
Here θ is a probability measure on a Polish space , Dr k k = 1 2r is a dyadic partition of (hence the use of 2r summands) satisfying θ Dr k = 1/2r and Lq 1 Lq 2 Lq 2r is an independent, identically distributed sequence of random probability measures on a Polish space such that Lq k q ∈ N satisfies the large deviation principle with a convex rate function. A number of related asymptotic results ...
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The statement of Theorem 2.4 includes the assertion that the function J defined in Definition 2.3 has compact level sets. The proof, given on pages 318–319, is based on a circular argument and is incorrect. While μ in the last display on page 318 depends on r , the r appearing in the first display on page 319 depends on N , which, in turn, depends on μ. All the other assertions in Theorem 2.4 a...
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ژورنال
عنوان ژورنال: The Annals of Probability
سال: 1999
ISSN: 0091-1798
DOI: 10.1214/aop/1022677264