Discussion of: ‘A review of distributed statistical inference’

First of all, we would like to congratulate Dr Gao et al. for their excellent paper, which provides a comprehensive overview of amounts of existing work on distributed estimation (learning). Different from related work Gu et al. (2019); Liu et al. (2021); Verbraeken et al. (2020) that focus on computing, storage and communication architecture, the current paper leverages how to guarantee statistical efficiency of a given distributed method from a statistical viewpoint. In the following, we divide our discussion into three parts: