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Paper Abstract and Keywords
Presentation 2013-03-07 11:45
Order Estimator of Stationary Markov Sources Using Codeword Length of Universal Code
Shinji Kanazawa, Tomohiko Uyematsu (Tokyo Inst. of Tech.) IT2012-65 ISEC2012-83 WBS2012-51
Abstract (in Japanese) (See Japanese page) 
(in English) Merhav et al. studied the problem of estimating the order of stationary Markov sources. They proposed an order estimator using codeword length of the Lempel-Ziv(LZ) code. In this paper, We propose an alternative
order estimator using codeword length of a general universal code. The universal code means the code whose compression ratio asymptotically achieves the normalized empirical entropy rate of any order. The proposed order estimator is shown to be asymptotically optimal in the following performance criterion. For the sequence length n, the probability Pu of underestimating the order and the probability Po of overestimating it, the order estimator minimizes the limit superior of (1/n)log(Pu) while keeping the limit inferior of -(1/n)log(Po) more than a given prescribed level.
Keyword (in Japanese) (See Japanese page) 
(in English) asymptotical optimality / Markov source / order estimator / universal code / / / /  
Reference Info. IEICE Tech. Rep., vol. 112, no. 460, IT2012-65, pp. 19-24, March 2013.
Paper # IT2012-65 
Date of Issue 2013-02-28 (IT, ISEC, WBS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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All rights are reserved and no part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopy, recording, or any information storage and retrieval system, without permission in writing from the publisher. Notwithstanding, instructors are permitted to photocopy isolated articles for noncommercial classroom use without fee. (License No.: 10GA0019/12GB0052/13GB0056/17GB0034/18GB0034)
Download PDF IT2012-65 ISEC2012-83 WBS2012-51

Conference Information
Committee IT ISEC WBS  
Conference Date 2013-03-07 - 2013-03-08 
Place (in Japanese) (See Japanese page) 
Place (in English) Kwansei Gakuin Univ., Osaka-Umeda Campus 
Topics (in Japanese) (See Japanese page) 
Topics (in English) joint meeting of IT, ISEC, and WBS 
Paper Information
Registration To IT 
Conference Code 2013-03-IT-ISEC-WBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Order Estimator of Stationary Markov Sources Using Codeword Length of Universal Code 
Sub Title (in English)  
Keyword(1) asymptotical optimality  
Keyword(2) Markov source  
Keyword(3) order estimator  
Keyword(4) universal code  
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1st Author's Name Shinji Kanazawa  
1st Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
2nd Author's Name Tomohiko Uyematsu  
2nd Author's Affiliation Tokyo Institute of Technology (Tokyo Inst. of Tech.)
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Speaker Author-1 
Date Time 2013-03-07 11:45:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2012-65, ISEC2012-83, WBS2012-51 
Volume (vol) vol.112 
Number (no) no.460(IT), no.461(ISEC), no.462(WBS) 
Page pp.19-24 
#Pages
Date of Issue 2013-02-28 (IT, ISEC, WBS) 


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