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A random clustering process

  • Probabilistic Models
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Abstract

A clustering process which generates simple and uniform random partitions is studied. It has a single parameter and generates, for a special value of the parameter, the partition of a random permutation into its cycles. The limit distribution of the size index of the generated partition is the joint of the independent Poisson distributions with means determined by the size and the parameter.

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Authors and Affiliations

  1. Department of Mathematics, Keio University, Hiyoshi, 223, Yokohama, Japan

    Masaaki Sibuya

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  1. Masaaki Sibuya
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Sibuya, M. A random clustering process. Ann Inst Stat Math 45, 459–465 (1993). https://doi.org/10.1007/BF00773348

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  • DOI: https://doi.org/10.1007/BF00773348

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