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Improved Random-Binning Exponent for Distributed Hypothesis Testing
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Consider the problem of distributed binary hypothesis testing with two terminals, where the decision is made at one of them (the "receiver"). We study the exponent of the error probability of the second type. Previously, an achievable exponent was derived by Shimokawa, Han, and Amari using a "quantization and binning" scheme. We propose a simple modification on the receiver's decision rule in this scheme to attain a better exponent.
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Practical Short-Length Coding Schemes for Binary Distributed Hypothesis Testing
Short-length quantization and quantize-binning schemes for binary distributed hypothesis testing are proposed, but the exact error formulas contain a combinatorial error that invalidates the theoretical analysis.
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