DocumentCode
3356722
Title
On large deviation property of recurrence times
Author
Jain, Sonal ; Bansal, Rakesh K.
Author_Institution
Dept. of Electr. Eng., Indian Inst. of Technol. Kanpur, Kanpur, India
fYear
2013
fDate
7-12 July 2013
Firstpage
2880
Lastpage
2884
Abstract
We extend the study by Ornstein and Weiss on the asymptotic behavior of the normalized version of recurrence times and establish the large deviation property for a certain class of mixing processes. Further, an estimator for entropy based on recurrence times is proposed for which large deviation behavior is proved for stationary and ergodic sources satisfying similar mixing conditions.
Keywords
information theory; statistical mechanics; asymptotic behavior; ergodic sources; large deviation property; mixing processes; recurrence times; stationary sources; Convergence; Electrical engineering; Electronic mail; Entropy; Information theory; Markov processes; Random variables;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory Proceedings (ISIT), 2013 IEEE International Symposium on
Conference_Location
Istanbul
ISSN
2157-8095
Type
conf
DOI
10.1109/ISIT.2013.6620752
Filename
6620752
Link To Document