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Two-stage allocations and the double Q-function (2003)  (Make Corrections)  
Sergey Agievich



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Abstract: Let m + n particles be thrown randomly, independently of each other into N cells, using the following two-stage procedure. 1. The rst m particles are allocated equiprobably, that is, the probability of a particle falling into any particular cell is 1=N . Let the ith cell contain m i particles on completion. Then associate with this cell the probability a i = m i =m and withdraw the particles. 2. The other n particles are then allocated polynomially, that is, the probability of a particle... (Update)

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BibTeX entry:   (Update)

@misc{ agievich-twostage,
  author = "Sergey Agievich",
  title = "Two-stage allocations and the double Q-function",
  url = "citeseer.ist.psu.edu/agievich03twostage.html" }
Citations (may not include all citations):
2003   The art of computer programming (context) - Knuth - 1973
1749   An introduction to probability theory and its applications (context) - Feller - 1968
151   Singularity analysis of generating functions (context) - Flajolet, Odlyzko - 1990  DBLP
110   Ramanujan's notebooks (context) - Berndt - 1989
65   Asymptotic enumeration methods - Odlyzko - 1995  ACM
61   Asymptotic methods in analysis (context) - de Bruijn - 1958
58   Random allocations (context) - Kolchin, Sevast'yanov et al. - 1978
4   Handbook of applied cryptology (context) - Menezes, van Oorschot et al. - 1997
2   Computational and Applied Mathematics (context) - Flajolet, Grabner et al. - 1995  ACM
2   Approximations connected with e (context) - Watson, by - 1929

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