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Dimensioning a multiple hashing scheme


Barbour, A D; Phatarfod, R (1997). Dimensioning a multiple hashing scheme. Journal of Applied Probability, 34(2):477-486.

Abstract

The number of items of data which are irretrievable without additional effort after hashing can be greatly reduced if several hash tables are used simultaneously. Here we show that, in a multiple hashing scheme, this number has a distribution very close to Poisson. Thus choosing the number and sizes of the tables to minimize the expected number of irretrievable items is the right way to dimension a scheme.

Abstract

The number of items of data which are irretrievable without additional effort after hashing can be greatly reduced if several hash tables are used simultaneously. Here we show that, in a multiple hashing scheme, this number has a distribution very close to Poisson. Thus choosing the number and sizes of the tables to minimize the expected number of irretrievable items is the right way to dimension a scheme.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Statistics and Probability
Physical Sciences > General Mathematics
Social Sciences & Humanities > Statistics, Probability and Uncertainty
Language:English
Date:1997
Deposited On:08 Apr 2010 13:26
Last Modified:03 Nov 2023 03:04
Publisher:Applied Probability Trust
ISSN:0021-9002
OA Status:Green
Publisher DOI:https://doi.org/10.2307/3215386
Related URLs:http://www.jstor.org/stable/3215386
  • Description: Preprint