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R. Arratia, A. D. Barbour and S. Tavaré. Logarithmic combinatorial structures: a probabilistic approach. EMS Monographs in Mathematics, European Mathematical Society (EMS), Zürich 2003. MR2032426 (2004m:60004).

R. Arratia, A. D. Barbour and S. Tavaré. A probabilistic approach to analytic arithmetic on algebraic function fields. Math. Proc. Cambridge Philos. Soc. 139 (2005), 1–26. MR2155502 (2006d:11090).

R. Arratia, D. Stark, and S. Tavaré. Total variation asymptotics for Poisson process approximations of logarithmic combinatorial assemblies, Ann. Probab. 23 (1995), 1347–1388. MR1349176 (96f:60008).

A. D. Barbour, L. H. Y. Chen, and W.-L. Loh. Compound Poisson approximation for nonnegative random variables via Stein's method, Ann. Probab. 20 (1992), 1843–1866. MR1188044 (93k:60044).

A. D. Barbour and B. L. Granovsky. Random combinatorial structures: the convergent case. J. Combin. Theory Ser. A 109 (2005), 203–220. MR2121024 (2005m:60225).

A. Beurling. Analyse de la loi asymptotique de la distribution des nombres premiers généralisés. Acta Math. 68 (1937), 255–291. Math. Review number not available.

F. Chung and L. Lu. Concentration inequalities and martingale inequalities: a survey. Internet Mathematics 3 (2006), 79–127. MR2283885 (2008j:60049).

K. Dickman. On the frequency of numbers containing prime factors of a certain relative magnitude. Ark. Math. Astr. Fys. 22 no. 10 (1930), 1–14. Math. Review number not available.

G. A. Freiman and B. L. Granovsky. Asymptotic formula for a partition function of reversible coagulation-fragmentation processes. Israel J. Math. 130 (2002), 259–279. MR1919380 (2003i:60036).

J. F. C. Kingman. The population structure associated with the Ewens sampling formula. Theoret. Population Biology 11 (1977), 274–283. MR0682238 (58 #33117).

J. Knopfmacher. Analytic arithmetic of algebraic function fields. Lecture Notes in Pure and Applied Mathematics 50, Marcel Dekker Inc., New York, 1979. MR0545904 (81d:10031).

J. Kubilius. Probabilistic methods in the theory of numbers. Translations of Mathematical Monographs 11, American Mathematical Society, Providence, R.I., 1964. MR0160745 (28 #3956).

T. Lindvall. Lectures on the coupling method. Dover Publications Inc., Mineola, NY, 2002. MR1924231 and MR1180522 (94c:60002).

E. Manstavičius. Strong convergence on weakly logarithmic combinatorial assemblies. arXiv:0903.1051 (2009). Math. Review number not available.

L. Mattner and B. Roos. A shorter proof of Kanter's Bessel function concentration bound. Prob. Theory Rel. Fields 139 (2007), 191–205. MR2322695 (2008e:60044).

J. Mineka. A criterion for tail events for sums of independent random variables. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 25 (1973), 163–170. MR0350890 (50 #3382).

U. Rösler. Das 0-1-Gesetz der terminalen σ-Algebra bei Harrisirrfahrten. Z. Wahrscheinlichkeitstheorie und Verw. Gebiete 37 (1977), 227–242. MR0428451 (55 #1472).

L. C. G. Rogers. Fastest coupling of random walks. J. London Math. Soc. 60 (1999), 630–640. MR1724813 (2001k:60068).

W. Vervaat. Success epochs in Bernoulli trials with applications in number theory. Mathematical Centre Tracts 42, Mathematisch Centrum, Amsterdam, 1972. MR0328989 (48 #7331).

W.-B. Zhang. The prime element theorem in additive arithmetic semigroups, I. Illinois J. Math. 40 (1996), 245–280. MR1398093 (97m:11123).

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