Limit distributions for the problem of collecting pairs

DOI10.3150/07-BEJ114zbMath1169.62308arXiv0805.2041MaRDI QIDQ1002561

Pavle Mladenović

Publication date: 2 March 2009

Published in: Bernoulli (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0805.2041

zbMATH Keywords

order statisticsChebyshev polynomialsextreme valueswaiting timelimit theoremsurn modelsmixing conditions

Mathematics Subject Classification ID

Asymptotic distribution theory in statistics (62E20) Exact distribution theory in statistics (62E15) Statistics of extreme values; tail inference (62G32) Combinatorial probability (60C05)

Related Items (3)

Coupon collector's problem and generalized Pareto distributions ⋮ Convergence of point processes associated with coupon collector's and Dixie cup problems ⋮ Rates of convergence in certain limit theorem for extreme values

Cites Work

• Extremes and related properties of random sequences and processes
• Limit theorems for some random variables associated with urn models
• The cyclic structure of random permutations
• Some asymptotic results for occupancy problems
• Asymptotic distributions for occupancy and waiting time problems with positive probability of falling through the cells
• On Birthday, Collectors', Occupancy and Other Classical Urn Problems
• A Generalization of the Mejzler--de Haan Theorem
• Asymptotic Distributions for the Coupon Collector's Problem
• Limit Theorems for Some Occupancy and Sequential Occupancy Problems
• Limit theorems for the maximum terms of a sequence of random variables with marginal geometric distributions
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