Limit distributions for the problem of collecting pairs
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Publication:1002561
DOI10.3150/07-BEJ114zbMath1169.62308arXiv0805.2041MaRDI QIDQ1002561
Publication date: 2 March 2009
Published in: Bernoulli (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.2041
order statisticsChebyshev polynomialsextreme valueswaiting timelimit theoremsurn modelsmixing conditions
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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