Proves that uniform coupon probabilities uniquely maximize expected missing types for sibling collectors, that the count is stochastically increasing in N under uniformity, and that normalized counts for fixed siblings converge jointly to the same exponential random variable.
Holst, On birthday, collectors’, occupancy and other classical urn problems,Internat
2 Pith papers cite this work, alongside 123 external citations. Polarity classification is still indexing.
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Stationary-entry flux yields exponential hitting laws for clumsy and careless non-monotone coupon collectors, with explicit asymptotic flux formulas replacing the usual Gumbel scale.
citing papers explorer
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Extremality and Limit Laws for the Siblings of the Coupon Collector
Proves that uniform coupon probabilities uniquely maximize expected missing types for sibling collectors, that the count is stochastically increasing in N under uniformity, and that normalized counts for fixed siblings converge jointly to the same exponential random variable.
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Clumsy and Careless: Stationary-Entry Flux in Non-monotone Coupon Collectors
Stationary-entry flux yields exponential hitting laws for clumsy and careless non-monotone coupon collectors, with explicit asymptotic flux formulas replacing the usual Gumbel scale.