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A Note on “Shaved Dice” Inference

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  • Rolf Sundberg

Abstract

Two dice are rolled repeatedly, only their sum is registered. Have the two dice been “shaved,” so two of the six sides appear more frequently? Pavlides and Perlman discussed this somewhat complicated type of situation through curved exponential families. Here, we contrast their approach by regarding data as incomplete data from a simple exponential family. The latter, supplementary approach is in some respects simpler, it provides additional insight about the relationships among the likelihood equation, the Fisher information, and the EM algorithm, and it illustrates the information content in ancillary statistics.

Suggested Citation

  • Rolf Sundberg, 2018. "A Note on “Shaved Dice” Inference," The American Statistician, Taylor & Francis Journals, vol. 72(2), pages 155-157, April.
    • Handle: RePEc:taf:amstat:v:72:y:2018:i:2:p:155-157
    DOI: 10.1080/00031305.2016.1277162
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    References listed on IDEAS

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    1. Pavlides, Marios G. & Perlman, Michael D., 2010. "On Estimating the Face Probabilities of Shaved Dice With Partial Data," The American Statistician, American Statistical Association, vol. 64(1), pages 37-45.
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