| Presentation | 2013-03-07 Order Estimator of Stationary Markov Sources Using Codeword Length of Universal Code Shinji KANAZAWA, Tomohiko UYEMATSU, |
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| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Merhav et al. studied the problem of estimating the order of stationary Markov sources. They proposed an order estimator using codeword length of the Lempel-Ziv(LZ) code. In this paper, We propose an alternative order estimator using codeword length of a general universal code. The universal code means the code whose compression ratio asymptotically achieves the normalized empirical entropy rate of any order. The proposed order estimator is shown to be asymptotically optimal in the following performance criterion. For the sequence length n, the probability P_u of underestimating the order and the probability P_o of overestimating it, the order estimator minimizes the limit superior of (1/n) log P_u while keeping the limit inferior of -(1/n)log P_o more than a given prescribed level. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | asymptotical ptimality / Markov source / order estimator / universal code |
| Paper # | IT2012-65,ISEC2012-83,WBS2012-51 |
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| Conference Information | |
| Committee | ISEC |
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| Conference Date | 2013/2/28(1days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | |
| Topics (in Japanese) | (See Japanese page) |
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| Paper Information | |
| Registration To | Information Security (ISEC) |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Order Estimator of Stationary Markov Sources Using Codeword Length of Universal Code |
| Sub Title (in English) | |
| Keyword(1) | asymptotical ptimality |
| Keyword(2) | Markov source |
| Keyword(3) | order estimator |
| Keyword(4) | universal code |
| 1st Author's Name | Shinji KANAZAWA |
| 1st Author's Affiliation | Dept. of Communications and Integrated Systems, Tokyo Institute of Technology() |
| 2nd Author's Name | Tomohiko UYEMATSU |
| 2nd Author's Affiliation | Dept. of Communications and Integrated Systems, Tokyo Institute of Technology |
| Date | 2013-03-07 |
| Paper # | IT2012-65,ISEC2012-83,WBS2012-51 |
| Volume (vol) | vol.112 |
| Number (no) | 461 |
| Page | pp.pp.- |
| #Pages | 6 |
| Date of Issue | |