The two-parameter generalization of Ewens' random partition structure UCB Statistics Technical Report #345 Jim Pitman Department of Statistics ,University of California, Berkeley} March 1992; reprinted with an appendix and updated references July 2003 A two-parameter generalization of Ewens' random partition structure is obtained by sampling from a random discrete distribution derived by Perman, Pitman and Yor from the lengths of excursions of a recurrent Bessel process. 9 ????? eng University of California at Berkeley, Berkeley, California technical reports technical reports http://www.stat.berkeley.edu/new-tech-reports/345.pdf The author(s) Partition structures derived from Brownian motion and stable subordinators UCB Statistics Technical Report #346 Jim Pitman Department of Statistics ,University of California, Berkeley} May 1992; revised July 1995 Explicit formulae are obtained for the distribution of various random partitions of a positive integer $n$, both ordered and unordered, derived from the zero set $M$ of a Brownian motion by the following 25 ????? eng University of California at Berkeley, Berkeley, California technical reports technical reports http://www.stat.berkeley.edu/new-tech-reports/346.pdf The author(s)