Our own Clément Canonne has written a beautiful survey which is now available in FnT book format from now publishers. This appears to be a very promising read — especially for the Distribution Testers among you. Today’s post is a mere advertisement for this beautiful survey/book which is clearly the result of a dedicated pursuit.
Let me now dig into this survey a teeny tiny bit. One among the many cool features of this survey is that it uses one central example (testing goodness-of-fit) to give a unified treatment to the diverse tools and techniques used in distribution testing. Another plus for me is the historical notes section that accompanies every chapter. In particular, I really liked jumping into the informative history section at the end of Chapter 2 which has an almost story like feel to it. If the above points do not catch your fancy, then please try opening the survey. You will be hardpressed to find a book that is typeset in such an aesthetically pleasing way with colored fonts to emphasize various parameters in several intricate proofs. Happy Reading!
Thanks for the kind words, Akash! There is also a web page with a freely available (but less fancy-looking) draft 📝: https://ccanonne.github.io/survey-topics-dt.html (also, the solutions to the exercises are coming soon, and will be posted there). Comments welcome (or, if you find typos, let me know)!