A short proof of Cramer's theorem in R
Raphael Cerf, Pierre Petit
TL;DR
This paper presents a concise proof of Cramer's theorem within the real numbers, utilizing convex duality principles to simplify the understanding of large deviations.
Contribution
It introduces a streamlined proof of Cramer's theorem in R, emphasizing the use of convex duality for clarity and brevity.
Findings
Simplified proof of Cramer's theorem in R
Application of convex duality in probability theory
Enhanced understanding of large deviations
Abstract
We expose here a short proof of Cramer's theorem in R based on convex duality.
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Taxonomy
TopicsMathematics and Applications · Advanced Mathematical Theories and Applications · Point processes and geometric inequalities