Carnegie Mellon University
May 08, 2012

Press Release: Carnegie Mellon's Joseph B. Kadane Authors "Principles of Uncertainty"

Book Represents Kadane's Legacy and Explains Bayesian Statistics

Contact: Shilo Rea / 412-268-6094 / shilo@cmu.edu

Principles of UncertaintyPITTSBURGH—For Carnegie Mellon University's Joseph B. (Jay) Kadane statistics is an adventure in understanding how people make decisions and draw conclusions from data.

Throughout his career, Kadane, the Leonard J. Savage University Professor of Statistics and Social Sciences, Emeritus, used the Bayesian theory, both in its decision-theoretic foundations and in problems of elicitation and computation, to solve political science, law, physics, medicine and computer science problems. Kadane draws on his vast experiences in his new book, "Principles of Uncertainty," as an effort to explain Bayesian statistics and math.

"This book addresses how to think about uncertainty," Kadane wrote in the preface. "It is addressed to those who want to know 'why.' I have chosen a particular point of view, the subjective Bayesian view, because this approach has best survived the tumult of doing statistical applications and worrying about the meaning behind the calculations."

Kadane starts each chapter with a poem or song verse that relates to the chapter. He did this to help lighten the topic. For example, the book begins with a quote from "Zooropa," the popular U2 song:
"Don't worry baby. It's going to be alright. Uncertainty can be a guiding light."

The first chapters introduce one new concept or assumption, and the rest of the book explores the consequences of each new assumption. Kadane organized the book this way to permit the use of "just-in-time mathematics," or the introduction of mathematical ideas just before they are applied to advancing the main argument, which is about uncertainty.

Christian P. Robert, professor of statistics at Université Paris-Dauphine and head of the Stat Lab at the Center for Research in Economics and Statistics of the National Institute for Statistics and Economic Studies in Paris, France, called the book "a profound and mesmerizing book on the foundations and principles of subjectivist or behaviorist Bayesian analysis."

He continued, "It represents the legacy he [Kadane] wants to leave for the future. And this is a legacy Jay can certainly be proud of! I highly recommend 'Principles of Uncertainty' for teaching as it can be used at so many different levels."

For more information about Kadane's "Principles of Uncertainty," visit http://uncertainty.stat.cmu.edu/.

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