| Presentation | 2013-05-24 String Complexity based on Reduplication Parsing and its Application to Randomness Testing Shigeru MAYA, Hirosuke YAMAMOTO, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | A randomness test based on LZ-compelxity was included in the NIST statistical test suite. However, it was removed because it has relatively large probability of type I error. In order to overcome this defect, a randomness test based on T-complexity was proposed. But, T-complexity has another defect such that the T-complexity of random sequences is considerably smaller than the maximum T-complexity. In order to overcome both defects of LZ-complexity and T-complexity, we propose a new complexity measure called RP-complexity, which is defined by reduplication parsing, and we show the validity of RP-complexity by a randomness test based on RP-complexity. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | randomness test / LZ-complexity / T-complexity |
| Paper # | IT2013-8 |
| Date of Issue |
| Conference Information | |
| Committee | IT |
|---|---|
| Conference Date | 2013/5/17(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | |
| Vice Chair | |
| Secretary | |
| Assistant | |
| Paper Information | |
| Registration To | Information Theory (IT) |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | String Complexity based on Reduplication Parsing and its Application to Randomness Testing |
| Sub Title (in English) | |
| Keyword(1) | randomness test |
| Keyword(2) | LZ-complexity |
| Keyword(3) | T-complexity |
| 1st Author's Name | Shigeru MAYA |
| 1st Author's Affiliation | Dep. of Mathematical Informatics, The University of Tokyo() |
| 2nd Author's Name | Hirosuke YAMAMOTO |
| 2nd Author's Affiliation | Dep. of Complexity Science & Engineering, The University of Tokyo |
| Date | 2013-05-24 |
| Paper # | IT2013-8 |
| Volume (vol) | vol.113 |
| Number (no) | 58 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |