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Asymptotically Optimum Sample Size for Quickest Detection
Authors:Pelkowitz  L Schwarts  SC
Institution:Computing Devices Company;
Abstract:A method is presented for selecting the asymptotically optimum sample size M for detecting a sudden change in the statistics of an observed process. The test statistic is assumed to be a sum of M consecutive values of some single sample detector and the optimization criterion is to minimize the mean time to detection MD for a given mean time between false alarms MF. It is shown that for large MF and MD the solution can be expressed as a function of the single variable ?MF? (or alternatively ?MD?) where ? is a measure of the signal-to-noise ratio (SNR).
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