Order statistics for jumps of normalised subordinators

Stochastic Processes and their Applications - Tập 46 - Trang 267-281 - 1993
Mihael Perman1
1University of Ljubljana, Slovenia

Tài liệu tham khảo

Aldous, 1991 Biane, 1987, Un processus qui resemble au pont brownien, Sém. Probab., XII, 270 Blackwell, 1973, Ferguson distributions via Pólya urn schemes, Ann. Statist., 1, 353, 10.1214/aos/1176342372 Brockett, 1980, Zeros of the densities of infinitely divisible measures, Ann. Probab., 8, 400, 10.1214/aop/1176994789 Csáki, 1985, On the length of the longest excursion, Probab. Theory Rel. Fields, 68, 365 Dynkin, 1961, Some limit theorems for sums of independent random variables with infinite expectations, Sel. Transl. Math. Statist. Probab., 1, 171 Ferguson, 1973, A Bayesian analysis in some non-parametric problems, Ann. Statist., 1, 209, 10.1214/aos/1176342360 Getoor, 1979, Excursions of a Markov process, Ann. Probab., 7, 100, 10.1214/aop/1176995086 Griffiths, 1979, On the distribution of allele frequencies in a diffusion model, Theoret. Population Biol., 15, 140, 10.1016/0040-5809(79)90031-5 Griffiths, 1988, On the distribution of points in a Poisson-Dirichlet process, J. Appl. Probab., 25, 336, 10.2307/3214441 Hoppe, 1987, The sampling theory of neutral alleles and an urn model in population genetics, J. Math. Biol., 25, 123, 10.1007/BF00276386 Ignatov, 1982, On a constant arising in the asymptotic theory of symmetric groups, Theory Probab. Appl., 27, 136, 10.1137/1127012 Kingman, 1975, Random discrete distributions, J. Roy. Statist. Soc., 37, 1 Knight, 1985, On the duration of the longest excursion, Sem. Stochastic Process., 1, 117 Kolchin, 1985 Molchanov, 1969, Symmetric stable processes as traces of degenerate diffusions, J. Probab. Appl., 14, 128, 10.1137/1114012 Patil, 1977, Diversity as a concept and its implications for random communities, Proc. 41st. I.S.I., 497 Perman, 1990, Random discrete distributions derived from subordinators Pitman, 1990, Arcsine laws and interval partitions derived from a stable subordinator Revuz, 1991 Rogers, 1987, Diffusions, Vol. II Shepp, 1966, Ordered cycle length in a random permutation, Trans. Amer. Math. Soc., 121, 340, 10.1090/S0002-9947-1966-0195117-8 Vershik, 1977, Limit measures arising in the asymptotic theory of symmetric groups I, Theory Probab. Appl., 22, 70, 10.1137/1122006 Vershik, 1978, Limit measures arising in the asymptotic theory of symmetric groups II, Theory Probab. Appl., 23, 36, 10.1137/1123003 Watterson, 1976, The stationary distribution of the infinitely many neutral alleles diffusion model, J. Appl. Probab., 13, 639, 10.2307/3212519 Wilks, 1964