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The problem of distributed binary hypothesis testing in the Gray-Wynernetwork with side information is studied in this paper. An observer has accessto a discrete memoryless and stationary source and describes its observation totwo detectors via one common and two private channels. The channels areconsidered error-free but rate-limited. Each detector also has access to itsown discrete memoryless and stationary source, i.e., the side information. Thegoal is to perform two distinct binary hypothesis testings on the jointdistribution of observations at detectors. Additionally, the observer aims tokeep a correlated latent source private against the detectors. Equivocation isused as the measure of the privacy preserved for the latent source. Anachievable inner bound is derived for the general case by introducing anon-asymptotic account of the output statistics of the random binning.

Privacy-aware Distributed Hypothesis Testing in Gray-Wyner Network with Side Information