Explicit Limits of Total Variation Distance in Approximations of Random Logarithmic Assemblies by Related Poisson Processes

Combinatorics Probability and Computing

Volumn 6, Issue 1, 1997, Pages 87-105

  Stark, Dudley ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031542058     PISSN: 09635483     EISSN: None     Source Type: Journal    
DOI: 10.1017/S0963548396002775     Document Type: Article

References (8)

1. Ahlfors, L. (1979) Complex Analysis. McGraw-Hill.
2. Arratia, R. and Tavaré, S. (1992) The cycle structure of random permutations. Ann. Probab. 20 1567-1591.
3. Arratia, R. and Tavaré, S. (1994) Independent process approximations for random combinatorial structures. Adv. Math. 104 90-154.
4. Arratia, R., Barbour, A. D. and Tavaré, S. (1992) Poisson process approximations for the Ewens Sampling Formula. Ann. Appl. Probab. 2 519-535.
5. Arratia, R., Stark, D. and Tavaré, S. (1995) Total Variation Asymptotics for independent Poisson approximations of the Ewens sampling formula and related assemblies. To appear in Ann. Probab.
6. Billingsley, P. (1968) Convergence of Probability Measures. John Wiley & Sons.
7. Flajolet, P. and Odlyzko, A. (1990) Singularity Analysis of Generating Functions. SIAM J. Disc. Math. 3 216-240.
8. Graham R. L., Knuth D. E. and Patashnik O. (1989) Concrete Mathematics. Addison-Wesley.