Abstract
This chapter is a review of various constructions of random partitions from Poisson point processes of random lengths, based on the work of Kingman and subsequent authors [249, 341, 371, 351, 362]. The lengths can be interpreted as the jumps of a subordinator, or as the lengths of excursions of some Markov process. The treatment is organized by sections as follows:
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© 2006 Springer-Verlag Berlin/Heidelberg
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Pitman, J. (2006). Poisson constructions of random partitions. In: Picard, J. (eds) Combinatorial Stochastic Processes. Lecture Notes in Mathematics, vol 1875. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-34266-4_5
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DOI: https://doi.org/10.1007/3-540-34266-4_5
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-30990-1
Online ISBN: 978-3-540-34266-3
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