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 |
Copyright and reproduction |
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) |
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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) |
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asymptotical optimality |
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Markov source |
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order estimator |
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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 |
6 |
Date of Issue |
2013-02-28 (IT, ISEC, WBS) |
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