By Robert Morris
Communications of the ACM,
October 1978,
Vol. 21 No. 10, Pages 840-842
10.1145/359619.359627
Comments
It is possible to use a small counter to keep approximate counts of large numbers. The resulting expected error can be rather precisely controlled. An example is given in which 8-bit counters (bytes) are used to keep track of as many as 130,000 events with a relative error which is substantially independent of the number n of events. This relative error can be expected to be 24 percent or less 95 percent of the time (i.e. &sgr; = n/8). The techniques could be used to advantage in multichannel counting hardware or software used for the monitoring of experiments or processes.
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