Two-Stage Allocations and the Double Q-Function

نویسنده

  • Sergey Agievich
چکیده

Let m + n particles be thrown randomly, independently of each other into N cells, using the following two-stage procedure. 1. The first 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 mi particles on completion. Then associate with this cell the probability ai = mi/m and withdraw the particles. 2. The other n particles are then allocated polynomially, that is, the probability of a particle falling into the ith cell is ai. Let ν = ν(m,N) be the number of the first particle that falls into a non-empty cell during the second stage. We give exact and asymptotic expressions for the expectation E ν.

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عنوان ژورنال:
  • Electr. J. Comb.

دوره 10  شماره 

صفحات  -

تاریخ انتشار 2003