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Permanent link (DOI): https://doi.org/10.7939/R3B853Q3Q

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Weak Laplace principles on topological spaces. Open Access

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Author or creator
Kouritzin, Michael
Sun, W.
Additional contributors
Subject/Keyword
Cadlag Process
Laplace Principle
Large Deviation Principle
Homeomorphism
Projective Limit
Weak LDP
Topological Space
Probability Measure
Type of item
Journal Article (Draft-Submitted)
Language
English
Place
Time
Description
We address the missing analog of vague convergence in the weak-converge large-deviations analogy. Specifically, we introduce the weak Laplace principle and show it implies both the well-known weak LDP and the Laplace principle lower bound. Both the weak LDP and weak Laplace principle hold in settings where there is no exponential tightness and imply the LDP when exponential tightness holds as well as the Laplace principle when, in addition, the space is Polish. As a side effect, we also generalize Bryc’s lemma. Whereas vague convergence is only defined on locally compact spaces, our definition of the weak Laplace principle holds on general topological spaces.
Date created
2013/11/22
DOI
doi:10.7939/R3B853Q3Q
License information
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© 2013 Michael Kouritzin. This version of this article is open access and can be downloaded and shared. The original author(s) and source must be cited.
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