The Approximation to the Random Fields Indexed by a Non-homogeneous Tree

Author

Jin Shao-hua ; Jiang Hui-hui ; Sun Shu-guang ; Wan Yan-ping

Author_Institution

Hebei Univ. of Technol., Tianjin, China

Volume

2

fYear

2009

fDate

6-7 June 2009

Firstpage

341

Lastpage

344

Abstract

The strong deviation theorem is one of the central questions for studying in the international probability theory. This paper brings in relative entropy ratio of sample as a measure of deviation between arbitrary random field and Markov random fields of order two on a non-homogeneous tree, and gives a strong deviation theorem on arbitrary probability measure of (Omega, F) by constructing a martingale and using Doob´s martingale convergence theorem.

Keywords

Markov processes; convergence; entropy; probability; random processes; trees (mathematics); Doob martingale convergence theorem; Markov random field; arbitrary probability measure; arbitrary random field; international probability theory; nonhomogeneous tree; relative entropy ratio; strong deviation theorem; Computational intelligence; Convergence; Entropy; Extraterrestrial measurements; Joining processes; Markov random fields; Sun; Tin; Wide area networks; entropy ratio; markov chain of order two; martingale; probability measure; strong deviation theorem;

fLanguage

English

Publisher

ieee

Conference_Titel

Computational Intelligence and Natural Computing, 2009. CINC '09. International Conference on

Conference_Location

Wuhan

Print_ISBN

978-0-7695-3645-3

Type

conf

DOI

10.1109/CINC.2009.104

Filename

5230950