Stick breaking process generated by virtual permutations with Ewens distribution

Journal of Mathematical Sciences

Volumn 87, Issue 6, 1997, Pages 4082-4093

  Kerov, S V ^a   Tsilevich, N V ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039587844     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/BF02355804     Document Type: Article

References (8)

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2. W. J. Ewens, "The sampling theory of selectively neutral alleles," Theor. Pop. Biol., 3, 87-112 (1972).
3. W. J. Ewens, "Population genetics theory - the Past and the Future," in: Mathematical and Statistical Developments of Evolutionary Theory, S. Lessard (ed.), Proc. NATO ASI Symp., Kluwer, Dordrecht (1990), pp. 117-228.
4. J. F. C. Kingman, "Random partitions in population genetics," Proc. R. Soc. Lond. A, 361, 1-20 (1978).
5. N. V. Tsilevich, "Distribution of cycle lengths of infinite permutations," Zap. Nauchn. Semin. POMI, 223, 148-161 (1995).
6. A. M. Vershik and A. A. Schmidt, "Limit measures arising in the asymptotic theory of symmetric groups I, II," Theor. Prob. Appl., 22, 23, 79-85, 36-49 (1977, 1978).
7. A. N. Shiryaev, Probability [in Russian], Nauka, Moscow (1980).
8. J. Pitman, "The two-parameter generalization of Ewens' random partition structure," Preprint (1992).