On Estimating the Face Probabilities of Shaved Dice with Partial Data

Tech Report Number



As noted by Persi Diaconis, the apparently simple problem of estimating 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. Keywords and phrases: Shaved Die, Dice, Face Probability, Multinomial Distribution, Estimation, Fisher Information, Design, Sufficiency, Ef- ficiency, Ancillarity.


tr566.pdf349.07 KB