Approximate counting with m counters: A probabilistic analysis

Yıl 2015, Cilt: 2 Sayı: 3, 191 - 209, 14.09.2015

Guy Louchard Helmut Prodinger

https://doi.org/10.13069/jacodesmath.36015

https://izlik.org/JA77CT98MM

Öz

Motivated by a recent paper by Cicho\'n 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].

Anahtar Kelimeler

Approximate counting , Moments , Constant and fluctuating components , Complex analysis , Product ofFourier series

Kaynakça

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