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Paper Abstract and Keywords
Presentation 2019-03-07 09:30
Analysis of Zero-Redundancy Estimator with a Finite Window for Markovian Source -- When the Statewise Alphabets are Unknown --
Yusuke Hashimoto, Tstutomu Kawabata (Univ. of Electro-Comm.) IT2018-89 ISEC2018-95 WBS2018-90
Abstract (in Japanese) (See Japanese page) 
(in English) A Bayesian (Laplace or Krichevski-Trofimov) estimator for Markov source can be used to build a lossless
source code. However it achieves the first order asymptotic optimal redundancy, only when the actual predictive
probabilities are all positive. In the other case, that is when the actual alphabet is unknown, we can modify the
estimator into a zero-redundancy estimator. We have previously applied the idea in the finite window setting, and
have shown the first order asymptotic optimality of the redundancy, when the probability is positive on an unknown
alphabet. Our work further proposes an estimator, in the same finite window setting, when the actual alphabet are
state wise unkown, which we believe is a useful case, and claims without proof the first order asymptotic optimality
of the redundancy. In this paper, we prove the last claim.
Keyword (in Japanese) (See Japanese page) 
(in English) Markov source / lossless source coding / finite window / asymptotic redundancy / zero-redundancy estimator / / /  
Reference Info. IEICE Tech. Rep., vol. 118, no. 477, IT2018-89, pp. 85-90, March 2019.
Paper # IT2018-89 
Date of Issue 2019-02-28 (IT, ISEC, WBS) 
ISSN Print edition: ISSN 0913-5685    Online edition: ISSN 2432-6380
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 IT2018-89 ISEC2018-95 WBS2018-90

Conference Information
Committee IT ISEC WBS  
Conference Date 2019-03-07 - 2019-03-08 
Place (in Japanese) (See Japanese page) 
Place (in English) University of Electro-Communications 
Topics (in Japanese) (See Japanese page) 
Topics (in English) joint meeting of IT, ISEC, and WBS 
Paper Information
Registration To IT 
Conference Code 2019-03-IT-ISEC-WBS 
Language Japanese 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Analysis of Zero-Redundancy Estimator with a Finite Window for Markovian Source 
Sub Title (in English) When the Statewise Alphabets are Unknown 
Keyword(1) Markov source  
Keyword(2) lossless source coding  
Keyword(3) finite window  
Keyword(4) asymptotic redundancy  
Keyword(5) zero-redundancy estimator  
1st Author's Name Yusuke Hashimoto  
1st Author's Affiliation Univeristy of Electro-Communications (Univ. of Electro-Comm.)
2nd Author's Name Tstutomu Kawabata  
2nd Author's Affiliation Univeristy of Electro-Communications (Univ. of Electro-Comm.)
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Speaker Author-1 
Date Time 2019-03-07 09:30:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2018-89, ISEC2018-95, WBS2018-90 
Volume (vol) vol.118 
Number (no) no.477(IT), no.478(ISEC), no.479(WBS) 
Page pp.85-90 
Date of Issue 2019-02-28 (IT, ISEC, WBS) 

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