The Bernoulli Sieve Revisited

We consider an occupancy scheme in which "balls" are identified with n points sampled from the standard exponential distribution, while the role of "boxes" is played by the spacings induced by an independent random walk with positive and nonlattice steps. We discuss the asymptoti...

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Veröffentlicht in:	The Annals of applied probability 2009-08, Vol.19 (4), p.1634-1655
Hauptverfasser:	Gnedin, Alexander V., Iksanov, Alexander M., Negadajlov, Pavlo, Rösler, Uwe
Format:	Artikel
Sprache:	eng
Schlagworte:	60C05 60F05 Asymptotic methods Convergence distributional recursion Markov chains Mathematical functions Occupancy Perceptron convergence procedure Poisson process Probability distribution Random sampling Random variables Random walk Random walk theory Recursion regenerative composition residual allocation model Sampling distributions
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