Paper Abstract and Keywords |
Presentation |
2014-07-17 17:40
[Invited Talk]
How to Observe Probability Distribution of Self-Information
-- as viewed under different resolutions of $n^{-1}$ and $n^{-1/2}$ -- Toshiyasu Matsushima (Waseda Univ.) IT2014-26 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
Several problems in Information Theory are investigated by asymptotic approximations of the probability of self-information or self-mutual information.
Two kind of normal asymptotic approximation is discussed in this paper.
One is the approximation of tail distribution, and the other is the approximation of top distribution that is the neighborhood of the mode in the distribution.
Error probability and overflow probability are evaluated by the approximation of tail distribution. Mean code length and point wise code word length are evaluated by the approximation of top distribution. In this paper, a brief discussion of these approximations is presented in a cross-sectoral manner. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
self-information / central limit theorem / finite block length analysis / source coding / universal coding / / / |
Reference Info. |
IEICE Tech. Rep., vol. 114, no. 138, IT2014-26, pp. 83-88, July 2014. |
Paper # |
IT2014-26 |
Date of Issue |
2014-07-10 (IT) |
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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IT2014-26 |
Conference Information |
Committee |
IT |
Conference Date |
2014-07-17 - 2014-07-18 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kobe University |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
freshman session, general |
Paper Information |
Registration To |
IT |
Conference Code |
2014-07-IT |
Language |
Japanese |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
How to Observe Probability Distribution of Self-Information |
Sub Title (in English) |
as viewed under different resolutions of $n^{-1}$ and $n^{-1/2}$ |
Keyword(1) |
self-information |
Keyword(2) |
central limit theorem |
Keyword(3) |
finite block length analysis |
Keyword(4) |
source coding |
Keyword(5) |
universal coding |
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1st Author's Name |
Toshiyasu Matsushima |
1st Author's Affiliation |
Waseda University (Waseda Univ.) |
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Speaker |
Author-1 |
Date Time |
2014-07-17 17:40:00 |
Presentation Time |
50 minutes |
Registration for |
IT |
Paper # |
IT2014-26 |
Volume (vol) |
vol.114 |
Number (no) |
no.138 |
Page |
pp.83-88 |
#Pages |
6 |
Date of Issue |
2014-07-10 (IT) |