Approximate counting: A detailed analysis
نویسندگان
چکیده
منابع مشابه
Approximate Counting: A Detailed Analysis
Approximate counting is an algorithm proposed by R. Morris which makes it possible to keep approximate counts of large numbers in small counters. The algorithm is useful for gathering statistics of a large number of events as well as for applications related to data compression (Todd et al.). We provide here a complete analysis of approximate counting which establishes good convergence properti...
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The classical algorithm approximate counting was recently modified by Cichon and Macyna: Instead of one counter, m counters are used, and the assignment of an incoming item to one of the counters is random. The parameter of interest is the sum of the values of all the counters. We analyse expectation and variance, getting explicit and asymptotic formulæ.
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Motivated by a recent paper by Cichoń and Macyna [1], who introduced m counters (instead of just one) in the approximate counting scheme first analysed by Flajolet [2], we analyse the moments of the sum of the m counters, using techniques that proved to be successful already in several other contexts [11].
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ژورنال
عنوان ژورنال: BIT
سال: 1985
ISSN: 0006-3835,1572-9125
DOI: 10.1007/bf01934993