Paper Abstract and Keywords |
Presentation |
2018-04-26 16:50
Interval Algorithm for Random Number Generation in the Case of Markov Coin Tossings Yasutada Oohama (Univ. Electro-Communications) NLP2018-12 |
Abstract |
(in Japanese) |
(See Japanese page) |
(in English) |
In this paper we analyze the interval algorithm for random number
generation proposed by Han and Hoshi in the case of Markov coin tossings. Using the expression of real numbers on the interval [0,1), we first establish an explicit representation of the interval algorithm with the representation of real numbers on the interval [0,1) based one number systems. Next, using the expression of the interval algorithm, we give a rigorous analysis of the interval algorithm. We discuss the difference between the expected number of the coin tosses in the interval algorithm and their upper bound derived by Han and Hoshi and show that it can be characterized explicitly with the established expression of the
interval algorithm. |
Keyword |
(in Japanese) |
(See Japanese page) |
(in English) |
Random number generation / interval algorithm / Markov coin tossings / number systems / performance analysis / / / |
Reference Info. |
IEICE Tech. Rep., vol. 118, no. 15, NLP2018-12, pp. 53-58, April 2018. |
Paper # |
NLP2018-12 |
Date of Issue |
2018-04-19 (NLP) |
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) |
Download PDF |
NLP2018-12 |
Conference Information |
Committee |
NLP |
Conference Date |
2018-04-26 - 2018-04-27 |
Place (in Japanese) |
(See Japanese page) |
Place (in English) |
Kumaoto Univ. |
Topics (in Japanese) |
(See Japanese page) |
Topics (in English) |
Discrete Dynamical Systems, Sequences, etc |
Paper Information |
Registration To |
NLP |
Conference Code |
2018-04-NLP |
Language |
English |
Title (in Japanese) |
(See Japanese page) |
Sub Title (in Japanese) |
(See Japanese page) |
Title (in English) |
Interval Algorithm for Random Number Generation in the Case of Markov Coin Tossings |
Sub Title (in English) |
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Keyword(1) |
Random number generation |
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interval algorithm |
Keyword(3) |
Markov coin tossings |
Keyword(4) |
number systems |
Keyword(5) |
performance analysis |
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1st Author's Name |
Yasutada Oohama |
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The University of Electro-Communications (Univ. Electro-Communications) |
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Speaker |
Author-1 |
Date Time |
2018-04-26 16:50:00 |
Presentation Time |
25 minutes |
Registration for |
NLP |
Paper # |
NLP2018-12 |
Volume (vol) |
vol.118 |
Number (no) |
no.15 |
Page |
pp.53-58 |
#Pages |
6 |
Date of Issue |
2018-04-19 (NLP) |
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