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| Presentation | 2022-03-11 15:35 The explicit formula for the distributions of nonoverlapping words Hayato Takahashi (Random Data Lab.)  IT2021-123 ISEC2021-88 WBS2021-91 RCC2021-98 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | Generating functions of the distributions of number of occurences of words and approximation of these distributions are shown by Bassino et al.~2010 and Regnier et al.~1998. Generating functions of the distributions of the return time of words and algorithm for computing the value of these distributuions are shown by Robin et al.~1999. These generating functions are rational functions. However, except for simple cases, it is difficult to obtain the coefficients of the expansion of the rational functions. In this paper we study the finite dimensional generating functions of the distribution of nonoverlapping words for each fixed sample size and show the explicit formula for the distributions of words for Bernoulli model. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | suffix tree / combinatorics / inclusion-exclusion principles / statistical tests / words / distributions / / | |
| Reference Info. | IEICE Tech. Rep., vol. 121, no. 428, IT2021-123, pp. 234-236, March 2022. | |
| Paper # | IT2021-123 | |
| Date of Issue | 2022-03-03 (IT, ISEC, WBS, RCC) | |
| ISSN | 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) | |
| Download PDF | IT2021-123 ISEC2021-88 WBS2021-91 RCC2021-98 |
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| Conference Information | |
| Committee | IT ISEC RCC WBS |
| Conference Date | 2022-03-10 - 2022-03-11 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Joint Meeting of ISEC, IT, RCC, and WBS |
| Paper Information | |
| Registration To | IT |
| Conference Code | 2022-03-IT-ISEC-RCC-WBS |
| Language | English |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | The explicit formula for the distributions of nonoverlapping words |
| Sub Title (in English) | |
| Keyword(1) | suffix tree |
| Keyword(2) | combinatorics |
| Keyword(3) | inclusion-exclusion principles |
| Keyword(4) | statistical tests |
| Keyword(5) | words |
| Keyword(6) | distributions |
| Keyword(7) | |
| Keyword(8) | |
| 1st Author's Name | Hayato Takahashi |
| 1st Author's Affiliation | Random Data Lab. (Random Data Lab.) |
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| Speaker | Author-1 |
| Date Time | 2022-03-11 15:35:00 |
| Presentation Time | 25 minutes |
| Registration for | IT |
| Paper # | IT2021-123, ISEC2021-88, WBS2021-91, RCC2021-98 |
| Volume (vol) | vol.121 |
| Number (no) | no.428(IT), no.429(ISEC), no.430(WBS), no.431(RCC) |
| Page | pp.234-236 |
| #Pages | 3 |
| Date of Issue | 2022-03-03 (IT, ISEC, WBS, RCC) |
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