Refined Large Deviation Asymptotics for the Classical Occupancy Problem

Author:

Dupuis Paul,Zhang Jim (Xiao),Whiting Philip

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics,Statistics and Probability

Reference19 articles.

1. M. Arato and A. Benczur, “Dynamic placement of records and the classical occupancy problem,” Computational Mathematics with Applications vol. 7 pp. 173–185, 1981.

2. R. Azencott, “Petites pertubations aléatoires des systems dynamiques: dévelopments asymptotiques,” Bulletin des Sciences Mathématiques Series 2 vol. 109 pp. 253–308, 1985.

3. R. R. Bahadur and R. Ranga Rao, “On deviations of the sample mean,” Annals of Mathematical Statistics vol. 31 pp. 1015–1027, 1960.

4. S. Boucheron, F. Gamboa, and C. Leonard, “Bins and balls: large deviations of the empirical occupancy process,” Annals of Applied Probability vol. 2 pp. 1–30, 2002.

5. C. Budianu and L. Tong, “Good–Turing estimation of the number of operating sensors: a large deviations analysis,” In Proceedings of the ICASSP, Montreal, Canada vol. 2 pp. 1029–1032, 2004.

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