| author: | Boris Ryabko and Jaakko Astola |
|---|---|
| title: | Application of data compression methods to hypothesis testing for ergodic and stationary processes |
| keywords: | hypothesis testing, data compression, universal coding, Information Theory, universal predictors, Shannon entropy. |
| abstract: | We show that data compression methods (or universal codes) can be applied for hypotheses testing in a framework of classical mathematical statistics. Namely, we describe tests, which are based on data compression methods, for the three following problems: i) identity testing, ii) testing for independence and iii) testing of serial independence for time series. Applying our method of identity testing to pseudorandom number generators, we obtained experimental results which show that the suggested tests are quite efficient. |
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| reference: | Boris Ryabko and Jaakko Astola (2005), Application of data compression methods to hypothesis testing for ergodic and stationary processes, in 2005 International Conference on Analysis of Algorithms, Conrado Martínez (ed.), Discrete Mathematics and Theoretical Computer Science Proceedings AD, pp. 399-408 |
| bibtex: | For a corresponding BibTeX entry, please consider our BibTeX-file. |
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