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A Note on Shaved Dice Inference
Stockholm University, Faculty of Science, Department of Mathematics.
Number of Authors: 12018 (English)In: American Statistician, ISSN 0003-1305, E-ISSN 1537-2731, Vol. 72, no 2, p. 155-157Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2018. Vol. 72, no 2, p. 155-157
Keywords [en]
Ancillarity, Curved exponential families, EM algorithm, Incomplete data model, ML estimation, Multinomial model
National Category
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-157848DOI: 10.1080/00031305.2016.1277162ISI: 000434344300005OAI: oai:DiVA.org:su-157848DiVA, id: diva2:1223895
Available from: 2018-06-26 Created: 2018-06-26 Last updated: 2018-06-26Bibliographically approved

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