Binomial Mixture Conditioning " Law of Small Numbers " Limit " Law of Small Numbers " Limit Dirichlet - Multinomial Poisson - Gamma Ewens Logarithmic Series
نویسندگان
چکیده
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.
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