Geodesic
Distributional analysis of Robin Hood linear probing hashing with buckets
Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms, DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms (2005).

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This paper presents the first distributional analysis of a linear probing hashing scheme with buckets of size $b$. The exact distribution of the cost of successful searches for a $b \alpha$ -full table is obtained, and moments and asymptotic results are derived. With the use of the Poisson transform distributional results are also obtained for tables of size $m$ and $n$ elements. A key element in the analysis is the use of a new family of numbers that satisfies a recurrence resembling that of the Bernoulli numbers. These numbers may prove helpful in studying recurrences involving truncated generating functions, as well as in other problems related with buckets. 
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     author = {Viola, Alfredo},
     title = {Distributional analysis of {Robin} {Hood} linear probing hashing with buckets},
     journal = {Discrete mathematics & theoretical computer science},
     publisher = {mathdoc},
     volume = {DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms},
     year = {2005},
     doi = {10.46298/dmtcs.3386},
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     url = {http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3386/}
}
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Viola, Alfredo. Distributional analysis of Robin Hood linear probing hashing with buckets. Discrete mathematics & theoretical computer science, DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms, DMTCS Proceedings vol. AD, International Conference on Analysis of Algorithms (2005). doi : 10.46298/dmtcs.3386. http://geodesic.mathdoc.fr/articles/10.46298/dmtcs.3386/

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