Derives explicit formulae, fourth-order asymptotics, variance leading term π²/6 N²/d², and Gumbel limits for two multi-draw coupon collector models, with application to DNA storage coverage.
Title resolution pending
2 Pith papers cite this work. Polarity classification is still indexing.
2
Pith papers citing it
fields
math.PR 2years
2026 2verdicts
UNVERDICTED 2representative citing papers
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.
citing papers explorer
-
Two Multi--Draw Coupon Collector models with different retention rules
Derives explicit formulae, fourth-order asymptotics, variance leading term π²/6 N²/d², and Gumbel limits for two multi-draw coupon collector models, with application to DNA storage coverage.
-
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.