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"On the Relation between Logarithmic Series Model and Other Superpopulation Models Useful for Microdata Disclosure Risk Assessment"

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  • Hoshino, Nobuaki

    (Graduate School of Economics, University of Tokyo.)

  • Akimichi Takemura

    (Faculty of Economics, University of Tokyo.)

Abstract

Fisher's logarithmic series model (Fisher et al. (1943)) is a classical model in statistical ecology. In this paper we show that this model is a key model linking three models discussed in Takemura (1997), i.e., Poisson-gamma model (Bethlehem et al. (1990)), Dirichlet-multinomial model (Takemura (1997)), and Ewens model (Ewens (1990)). This connection opens up the possibility of applying existing techniques of statistical ecology to the problem of microdata disclosure risk assessment.

Suggested Citation

  • Hoshino, Nobuaki & Akimichi Takemura, 1998. ""On the Relation between Logarithmic Series Model and Other Superpopulation Models Useful for Microdata Disclosure Risk Assessment"," CIRJE F-Series 98-F-7, CIRJE, Faculty of Economics, University of Tokyo.
    • Handle: RePEc:tky:fseres:98f07
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    File URL: http://www.cirje.e.u-tokyo.ac.jp/research/dp/98/f7/contents.htm
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    Cited by:

    1. Nobuaki Hoshino, 2005. "On a limiting quasi-multinomial distribution," CIRJE F-Series CIRJE-F-361, CIRJE, Faculty of Economics, University of Tokyo.

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