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2010 Third International Symposium on Intelligent Information Technology and Security Informatics
A Strong Deviation Theorem Based on Laplace Transform on a Non-homogeneous Tree
Jinggangshan, China
April 02-April 04
ISBN: 978-0-7695-4020-7
The strong deviation theorems is one of the central questions for studying in the International Probability theory. In this paper, a strong deviation theorem based on Laplace transform on a non-homogeneous tree was obtained by constructing a non-negative martingale and using Doob’s martingale convergence theorem.
Index Terms:
Laplace transform, martingale, non-homogeneous tree, strong deviation theorem
Citation:
Shaohua Jin, Chongguang Ding, Yongxue Wang, Yanmin Zhang, Jie Lv, "A Strong Deviation Theorem Based on Laplace Transform on a Non-homogeneous Tree," iitsi, pp.165-168, 2010 Third International Symposium on Intelligent Information Technology and Security Informatics, 2010
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