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References

  1. A. D. Barbour and A. V. Gnedin. Small counts in the infinite occupancy scheme. Electron. J. Probab. 14 (2009), 365-384. Math. Review MR2480545
  2. A. D. Barbour, L. Holst and S. Janson. Poisson Approximation. (1992) Oxford University Press, New York. Math. Review 93g:60043
  3. S. Chatterjee. A new method of normal approximation. Ann. Probab. 36 (2008), 1584-1610. Math. Review 2009j:60043
  4. G. Englund. A remainder term estimate for the normal approximation in classical occupancy. Ann. Probab. 9 (1981), 684-692. Math. Review 82j:60015
  5. W. Feller. An Introduction to Probability Theory and its Applications. Vol. I. 3rd ed. (1968) John Wiley and Sons, New York. Math. Review MR0228020
  6. A. Gnedin, B. Hansen and J. Pitman. Notes on the occupancy problem with infinitely many boxes: general asymptotics and power laws. Probab. Surv. 4 (2007), 146-171. Math. Review 2008g:60056
  7. L. Goldstein and M. D. Penrose (2008). Normal approximation for coverage models over binomial point processes. To appear in Ann. Appl. Probab. Math. Review number not available.
  8. H.-K. Hwang and S. Janson. Local limit theorems for finite and infinite urn models. Ann. Probab. 36 (2008), 992-1022. Math. Review 2009f:60032
  9. N. L. Johnson and S. Kotz. Urn Models and their Application: An approach to Modern Discrete Probability Theory. (1977) John Wiley and Sons, New York. Math. Review MR0488211
  10. V. F. Kolchin, B.A. Sevast'yanov and V. P. Chistyakov Random Allocations. (1978) Winston, Washington D.C. Math. Review MR0471015
  11. Mikhailov, V. G. The central limit theorem for a scheme of independent allocation of particles by cells. (Russian) Number theory, mathematical analysis and their applications. Trudy Mat. Inst. Steklov. 157 (1981), 138-152. Math. Review 83f:60022
  12. Quine, M. P. and Robinson, J. A Berry-Esseen bound for an occupancy problem. Ann. Probab. 10 (1982), 663-671. Math. Review 83i:60027
  13. Quine, M. P. and Robinson, J. Normal approximations to sums of scores based on occupancy numbers. Ann. Probab. 12 (1984), 794-804. Math. Review 85h:60035
  14. Steele, J. M. An Efron-Stein inequality for non-symmetric statistics. Ann. Statist. 14 (1986), 753-758. Math. Review 87m:60050
  15. Vatutin, V. A. and Mikhailov, V. G. Limit theorems for the number of empty cells in an equiprobable scheme for the distribution of particles by groups. Theory Probab. Appl. 27 (1982), 734-743. Math. Review 84c:60020
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