On Estimating the Face Probabilities of Shaved Dice With Partial Data

Marios G. Pavlides Marios G. Pavlides is Lecturer of Mathematics and Statistics, Frederick University, Nicosia 1036, Cyprus . Michael D. Perlman is Professor, Department of Statistics, University of Washington, Box 354322, Seattle, WA 98195 . First and foremost, we offer our warm thanks to Persi Diaconis for his inspiration, encouragement, and friendship over many years. Also, Jon Wellner, Elizabeth Thompson, and Vladimir Minin provided helpful comments and suggestions.

Michael D. Perlman Marios G. Pavlides is Lecturer of Mathematics and Statistics, Frederick University, Nicosia 1036, Cyprus . Michael D. Perlman is Professor, Department of Statistics, University of Washington, Box 354322, Seattle, WA 98195 . First and foremost, we offer our warm thanks to Persi Diaconis for his inspiration, encouragement, and friendship over many years. Also, Jon Wellner, Elizabeth Thompson, and Vladimir Minin provided helpful comments and suggestions.

Abstract

As noted by Persi Diaconis, the apparently simple problem of calculating the face probabilities of a shaved die defies exact mathematical analysis. However, this problem can be used to provide amusing and instructive examples of sufficiency, efficiency, information, ancillarity, and the value of statistical design.

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On Estimating the Face Probabilities of Shaved Dice With Partial Data

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