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Paper Abstract and Keywords
Presentation 2023-01-25 13:45
Explicit formulae for the distributions of runs
Hayato Takahashi (Random Data Lab.) IT2022-65 SIP2022-116 RCS2022-244
Abstract (in Japanese) (See Japanese page) 
(in English) We show a new explicit formulae for the distributions of the number of the occurrences of runs on finite binary strings.
There are various manner of counting runs.
For example in Feller (1970), the run 00 appears 3 times in 110000100 and in Ling (1988),
00 appears 4 times in the same string. We study the distributions of runs with the latter counting.
Our formulae for the distributions of runs are based on inclusion-exclusion principles (Takahashi MSJ 2018), which
are different from those in Ling (1988).
Keyword (in Japanese) (See Japanese page) 
(in English) distribution of run / including-excluding principle / distribution of word / combinatorics / exact distribution / / /  
Reference Info. IEICE Tech. Rep., vol. 122, no. 355, IT2022-65, pp. 208-210, Jan. 2023.
Paper # IT2022-65 
Date of Issue 2023-01-17 (IT, SIP, RCS) 
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 IT2022-65 SIP2022-116 RCS2022-244

Conference Information
Committee IT RCS SIP  
Conference Date 2023-01-24 - 2023-01-25 
Place (in Japanese) (See Japanese page) 
Place (in English) Maebashi Terrsa 
Topics (in Japanese) (See Japanese page) 
Topics (in English)  
Paper Information
Registration To IT 
Conference Code 2023-01-IT-RCS-SIP 
Language English (Japanese title is available) 
Title (in Japanese) (See Japanese page) 
Sub Title (in Japanese) (See Japanese page) 
Title (in English) Explicit formulae for the distributions of runs 
Sub Title (in English)  
Keyword(1) distribution of run  
Keyword(2) including-excluding principle  
Keyword(3) distribution of word  
Keyword(4) combinatorics  
Keyword(5) exact distribution  
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1st Author's Name Hayato Takahashi  
1st Author's Affiliation Random Data Lab. Inc. (Random Data Lab.)
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Speaker Author-1 
Date Time 2023-01-25 13:45:00 
Presentation Time 25 minutes 
Registration for IT 
Paper # IT2022-65, SIP2022-116, RCS2022-244 
Volume (vol) vol.122 
Number (no) no.355(IT), no.356(SIP), no.357(RCS) 
Page pp.208-210 
#Pages 3 
Date of Issue 2023-01-17 (IT, SIP, RCS) 

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