On Extreme Stable Laws and Some Applications.

Morris L. Eaton, Carl N. Morris, Haya R. Rubin

ResearchPublished 1971

It is shown that the extreme stable laws have one-sided moment-generating functions with interesting mathematical forms. The fact that one of these forms, exp(cz log z), is a moment-generating function is used to establish two interesting statistical results: first, that exp(r log r) is a moment sequence for a density with decreasing failure rate, and secondly, that the likelihood ratio test for testing a simple null hypothesis in a multinomial distribution is admissible and Bayes. 22 pp. Ref. (Author)

Document Details

  • Copyright: RAND Corporation
  • Availability: Web Only
  • Year: 1971
  • Pages: 22
  • Document Number: R-551-PR

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Eaton, Morris L., Carl N. Morris, and Haya R. Rubin, On Extreme Stable Laws and Some Applications. Santa Monica, CA: RAND Corporation, 1971. https://www.rand.org/pubs/reports/R551.html.
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