Sharif Digital Repository

The problem of distributed binary hypothesis testing in the Gray-Wyner network with side information is studied in this dissertation. An observer agent has access to a discrete memoryless and stationary source and describes its observation to two detecting agents via one common and two private channels. The channels are considered error-free but rate-limited. Each detecting agent also has access to its own discrete memoryless and stationary source, i.e., the side information. The goal is to perform two distinct binary hypothesis testings on the joint distribution of observations at detecting agents. Additionally, the observing agent aims to keep a correlated latent source private against the...