Distributed Statistical Estimation of High-Dimensional and Non-parametric Distributions. Han, Y., Mukherjee, P., Özgür, A., & Weissman, T. In 2018 IEEE International Symposium on Information Theory (ISIT'18), pages 506–510, 2018.
[HMÖW18] Lower bounds on distributed estimation (in total variation distance) of several families of distributions under communication constraints. Results apply to noniteractive protocols (a gap in the argument prevents the extension to interactive).

bibtex   
@inproceedings{HMOW-ISIT18,
  author    = {Yanjun Han and Pritam Mukherjee and Ayfer {{\"O}zg{\"u}r} and Tsachy Weissman},
  title = {Distributed Statistical Estimation of High-Dimensional and Non-parametric Distributions},
  booktitle = {2018 IEEE International Symposium on Information Theory (ISIT'18)},
year = {2018},
pages={506--510},
  bibbase_note = {<div class="well well-small bibbase"><span class="bluecite">[HMÖW18]</span> Lower bounds on distributed estimation (in total variation distance) of several families of distributions under communication constraints. Results apply to noniteractive protocols (a gap in the argument prevents the extension to interactive).</div>}
}

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