We consider the model of hashing with linear probing and we establish the moderate and large deviations for the total displacement in sparse tables. In this context, Weibull-like-tailed random variables appear.
hashing as functions of a. From this, it has been computed that the sum of displacement and space compression factors, known collectively as probes, incurred when (completely) sorting an array using linear probing is least when a ¼
The analysis of linear probing hashing with buckets. Algorithmica, 21(1):37-71, 1998.A. Viola and P. V. Poblete (1998), Analysis of linear probing hashing with buckets, Algorithmica, 21, pp. 37-71.Viola, A., Poblete, P.V.: The analysis of linear probing hashing with buckets. ...
Asymptotic distribution for the cost of linear probing hashing. Random Structures Algortihms, 19, 438-471.Svante Janson, Asymptotic distribution for the cost of linear probing hashing. Random Struct. Alg. 19 (2001), no. 3-4, 438-471.
Deviation results for sparse tables in hashing with linear probingThierry KleinA LagnouxP Petit
The analysis of linear probing hashing with buckets. Algorithmica, 21(1):37-71, 1998.A. Viola and P. V. Poblete (1998), Analysis of linear probing hashing with buckets, Algorithmica, 21, pp. 37-71.Viola, A., Poblete, P.V.: The analysis of linear probing hashing with buckets. ...
Large deviations and Berry-Esseen bounds for hashing with linear probingThierry KleinA LagnouxP Petit
The analysis of linear probing hashing with buckets. Algorithmica, 21(1):37-71, 1998.A. Viola and P. V. Poblete (1998), Analysis of linear probing hashing with buckets, Algorithmica, 21, pp. 37-71.Viola, A., Poblete, P.V.: The analysis of linear probing hashing with buckets. ...
The analysis of linear probing hashing with buckets. Algorithmica, 21(1):37-71, 1998.A. Viola and P. V. Poblete (1998), Analysis of linear probing hashing with buckets, Algorithmica, 21, pp. 37-71.Viola, A., Poblete, P.V.: The analysis of linear probing hashing with buckets. ...
Distributional analysis of Robin Hood linear probing hashing with bucketsdoi:10.46298/DMTCS.3386Alfredo ViolaDiscrete Mathematics and Theoretical Computer Science