Peer-Review Record
Distributed Hypothesis Testing over Noisy Broadcast Channels
Information 2021, 12(7), 268; https://doi.org/10.3390/info12070268
Reviewer 1:
Anonymous
Reviewer 2:
Anonymous
Information 2021, 12(7), 268; https://doi.org/10.3390/info12070268
Submission received: 21 May 2021
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Revised: 8 June 2021
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Accepted: 8 June 2021
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Published: 29 June 2021
(This article belongs to the Special Issue Statistical Communication and Information Theory)
Round 1
Reviewer 1 Report
See attached file
Comments for author File: 
Comments.pdf
Author Response
See attached letter.
Author Response File: Author Response.pdf
Reviewer 2 Report
This paper studies the problem of hypothesis testing over broadcast channels. It presents two achievable error exponent regions. I recommend that the paper be accepted after a minor revision.
Main comments: 1. It is mentioned in the remark of Theorem 2 that if \theta_{cross,1} and \theta_{cross,2} are not active, then there is no tradeoff between \theta_1 and \theta_2. But it's unclear whether this is a fundamental property or is just the characteristic of the achievable region presented in Theorem 2. In particular, it is important to know whether the achievable exponent presented in Theorem 1 is optimal or not. Also, are there non-degenerate examples for which \theta_{cross,1} and \theta_{cross,2} are not active? 2. The expressions are highly complicated. It is unclear whether such expressions can be evaluated for any reasonable example. 3. The following paper should be cited: C. Tian and J. Chen, "Successive Refinement for Hypothesis Testing and Lossless One-Helper Problem," IEEE Transactions on Information Theory, vol. 54, pp. 4666-4681, Oct. 2008. 4. There are a few typos and grammatical errors. For example: p. 1, That means, each terminal observes a memoryless sequence and depending on the underlying hypothesis... p.1, Focusing on two decision centers, two scenarios can encountered p.5, then the it producesAuthor Response
See attached letter
Author Response File: Author Response.pdf
