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| Presentation | 2013-03-15 16:50 Chaotic Method for Generating q-Gaussian Random Variables Ken Umeno, Aki-Hiro Sato (Kyoto Univ.)  NLP2012-176 |
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| Abstract | (in Japanese) | (See Japanese page) |
| (in English) | This study proposes a pseudo random number generator of $q$-Gaussian random variables for a range of $q$ values, $-\infty < q < 3$, based on deterministic chaotic map dynamics. Our method consists of chaotic maps on the unit circle and map dynamics based on the piecewise linear map. We perform the $q$-Gaussian random number generator for several values of $q$ and conduct both Kolmogorov-Smirnov (KS) and Anderson--Darling (AD) tests. The $q$-Gaussian samples generated by our proposed method pass the KS test at more than 5\% significance level for values of $q$ ranging from -1.0 to 2.7, while they pass the AD test at more than 5\% significance level for $q$ ranging from -1 to 2.4. |
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| Keyword | (in Japanese) | (See Japanese page) |
| (in English) | Chebyshev map / two dimensional map on a unit circle / piecewise linear map / Kolmogorov-Smirnov test / Anderson-Darling test / / / | |
| Reference Info. | IEICE Tech. Rep., vol. 112, no. 487, NLP2012-176, pp. 171-176, March 2013. | |
| Paper # | NLP2012-176 | |
| Date of Issue | 2013-03-07 (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 | NLP2012-176 |
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| Conference Information | |
| Committee | NLP |
| Conference Date | 2013-03-14 - 2013-03-15 |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Nishi-Chiba campus, Chiba Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | General |
| Paper Information | |
| Registration To | NLP |
| Conference Code | 2013-03-NLP |
| Language | Japanese |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Chaotic Method for Generating q-Gaussian Random Variables |
| Sub Title (in English) | |
| Keyword(1) | Chebyshev map |
| Keyword(2) | two dimensional map on a unit circle |
| Keyword(3) | piecewise linear map |
| Keyword(4) | Kolmogorov-Smirnov test |
| Keyword(5) | Anderson-Darling test |
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| 1st Author's Name | Ken Umeno |
| 1st Author's Affiliation | Kyoto University (Kyoto Univ.) |
| 2nd Author's Name | Aki-Hiro Sato |
| 2nd Author's Affiliation | Kyoto University (Kyoto Univ.) |
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| Speaker | Author-2 |
| Date Time | 2013-03-15 16:50:00 |
| Presentation Time | 25 minutes |
| Registration for | NLP |
| Paper # | NLP2012-176 |
| Volume (vol) | vol.112 |
| Number (no) | no.487 |
| Page | pp.171-176 |
| #Pages | 6 |
| Date of Issue | 2013-03-07 (NLP) |
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