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The Computer Journal 1985 28(4):412-413; doi:10.1093/comjnl/28.4.412
© 1985 by British Computer Society
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Sampling without Replacement in Linear Time

M. Jakobsson *

University of Vaasa, Raasuvankatu 33 SF-65100, Vaasa, Finland

One method for selecting a sample of m different elements from a file of n records is to repeatedly select a random element until we have m different ones. We show that the number of selections is on average smaller than 2 ln (2) m and that the algorithm has a linear running time if we use a hash table for the elements already selected in the sample.



* University of Vaasa, Raastuvankatu 33 SF-65100 Vaasa 10, Finland


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