Asymptotic regimes for the occupancy scheme of multiplicative cascades

Jean Bertoin

Stochastic Processes and their Applications, 2008, vol. 118, issue 9, 1586-1605

Abstract: In the classical occupancy scheme, one considers a fixed discrete probability measure and throws balls independently at random in boxes labeled by , such that pi is the probability that a given ball falls into the box i. In this work, we are interested in asymptotic regimes of this scheme in the situation induced by a refining sequence of random probability measures which arise from some multiplicative cascade. Our motivation comes from the study of the asymptotic behavior of certain fragmentation chains.

Keywords: Occupancy; scheme; Multiplicative; cascade; Asymptotic; regime; Homogeneous; fragmentation (search for similar items in EconPapers)
Date: 2008
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