Bayes’ Theorem

The Theory That Would Not Die: How Bayes’ Rule Cracked the Enigma Code, Hunted Down Russian Submarines, and Emerged Triumphant from Two Centuries of Controversy

There aren’t that many popular books on hard-core statistical approaches to predicting the future. Here is the Amazon description of this book:

Drawing on primary source material and interviews with statisticians and other scientists, “The Theory That Would Not Die” is the riveting account of how a seemingly simple theorem ignited one of the greatest scientific controversies of all time. Bayes’ rule appears to be a straightforward, one-line theorem: by updating our initial beliefs with objective new information, we get a new and improved belief. To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok. In the first-ever account of Bayes’ rule for general readers, Sharon Bertsch McGrayne explores this controversial theorem and the human obsessions surrounding it. She traces its discovery by an amateur mathematician in the 1740s through its development into roughly its modern form by French scientist Pierre Simon Laplace. She reveals why respected statisticians rendered it professionally taboo for 150 years – at the same time that practitioners relied on it to solve crises involving great uncertainty and scanty information, even breaking Germany’s Enigma code during World War II, and explains how the advent of off-the-shelf computer technology in the 1980s proved to be a game-changer. Today, Bayes’ rule is used everywhere from DNA decoding to Homeland Security. “The Theory That Would Not Die” is a vivid account of the generations-long dispute over one of the greatest breakthroughs in the history of applied mathematics and statistics.

Dense as all this might seem, it matters as we enter a more data-driven future, and we need people with the knowledge and training to deal with it. We should no longer assume that steering our sons into math, statistics, and actuarial science majors means they will never get a date.

There’s a much more hard-core set of slides on Bayes’ Theorem available on R-bloggers.

 

 

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