Abstract
A problem of hypothesis testing on the crossover probability of a BSC is considered. We observe only the channel output and our helper only observes the channel input and can send us some limited amount of information about the input block. What kind of that information allows us to make the best statistical inferences? In particular, what is the minimal information sufficient to get the same results as if we could observe directly all data? Some upper bounds for that minimal amount of information and some related results are obtained.
The research described in this publication was made possible in part by Grant N 98-01-04108 from the Russian Fund for Fundamental Research and INTAS 94-469.
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© 2000 Springer Science+Business Media New York
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Burnashev, M.V., Amari, Si., Han, T.S. (2000). BSC: Testing of Hypotheses with Information Constraints. In: Althöfer, I., et al. Numbers, Information and Complexity. Springer, Boston, MA. https://doi.org/10.1007/978-1-4757-6048-4_40
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DOI: https://doi.org/10.1007/978-1-4757-6048-4_40
Publisher Name: Springer, Boston, MA
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