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A note on “shaved dice” inference
Stockholm University, Faculty of Science, Department of Mathematics. (Avd. f. matematisk statistik)ORCID iD: 0000-0002-4453-7403
(English)In: American Statistician, ISSN 0003-1305, E-ISSN 1537-2731Article in journal (Refereed) In press
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 & Perlman (2010) discuss this somewhat complicated type of situation through curved exponen- tial 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, Fisher information, and the EM algorithm, and it illustrates the information content in ancillary statistics.

Place, publisher, year, edition, pages
American Statistical Association.
Keyword [en]
ancillarity, curved exponential families, EM algorithm, incomplete data model, ML estimation, multinomial model
National Category
Probability Theory and Statistics
Research subject
Mathematical Statistics
Identifiers
URN: urn:nbn:se:su:diva-150621OAI: oai:DiVA.org:su-150621DiVA, id: diva2:1169614
Available from: 2017-12-28 Created: 2017-12-28 Last updated: 2018-01-11Bibliographically approved

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CiteExportLink to record
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Citation style
  • apa
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  • Other style
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Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
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  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf