2013年5月
Chaotic Method for Generating q-Gaussian Random Variables
IEEE TRANSACTIONS ON INFORMATION THEORY
- ,
- 巻
- 59
- 号
- 5
- 開始ページ
- 3199
- 終了ページ
- 3209
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1109/TIT.2013.2241174
- 出版者・発行元
- IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
This study proposes a pseudorandom number generator of q-Gaussian random variables for a range of values, -infinity < 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.
- リンク情報
- ID情報
-
- DOI : 10.1109/TIT.2013.2241174
- ISSN : 0018-9448
- eISSN : 1557-9654
- Web of Science ID : WOS:000318163500039