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CORR
2008
Springer

Testing Statistical Hypotheses About Ergodic Processes

13 years 4 months ago
Testing Statistical Hypotheses About Ergodic Processes
We propose a method for statistical analysis of time series, that allows us to obtain solutions to some classical problems of mathematical statistics under the only assumption that the process generating the data is stationary ergodic. Namely, we consider three problems: goodness-of-fit (or identity) testing, process classification, and the change point problem. For each of the problems we construct a test that is asymptotically accurate for the case when the data is generated by stationary ergodic processes. The tests are based on empirical estimates of distributional distance.
Daniil Ryabko, Boris Ryabko
Added 09 Dec 2010
Updated 09 Dec 2010
Type Journal
Year 2008
Where CORR
Authors Daniil Ryabko, Boris Ryabko
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