Birth, death, coincidences and occupancies: solutions and applications of generalized birthday and occupancy problems

DOI10.1007/S11009-023-10028-ZzbMath1515.60027WikidataQ121432789 ScholiaQ121432789MaRDI QIDQ6170564

Qihou Zhou

Publication date: 13 July 2023

Published in: Methodology and Computing in Applied Probability (Search for Journal in Brave)

zbMATH Keywords

hypothesis testmultinomial distributiongeneralized birthday problemcoupon collector problemgeneralized occupancy problem

Mathematics Subject Classification ID

Computational methods for problems pertaining to statistics (62-08) Probabilistic models, generic numerical methods in probability and statistics (65C20) Computational methods for problems pertaining to probability theory (60-08)

Cites Work

• Birthday paradox, coupon collectors, caching algorithms and self- organizing search
• Approximations to the birthday problem with unequal occurrence probabilities and their application to the surname problem in Japan
• On the number of overflown urns and excess balls in an allocation model with limited urn capacity
• The matching, birthday and the strong birthday problem: a contemporary review
• Methods for Studying Generalized Birthday and Coupon Collection Problems
• A solution to the generalized birthday problem with application to allozyme screening for cell culture contamination
• The Classical Occupancy Distribution: Computation and Approximation
• On moderate deviations in Poisson approximation

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