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We compare two strategies of multi-detector detection of compact binaryinspiral signals, namely, the coincidence and the coherent. For simplicity weconsider here two identical detectors having the same power spectral density ofnoise, that of initial LIGO, located in the same place and having the sameorientation. We consider the cases of independent noise as well as that ofcorrelated noise. The coincident strategy involves separately making twocandidate event lists, one for each detector, and from these choosing thosepairs of events from the two lists which lie within a suitable parameterwindow, which then are called as coincidence detections. The coherent strategyon the other hand involves combining the data phase coherently, so as to obtaina single network statistic which is then compared with a single threshold. Herewe attempt to shed light on the question as to which strategy is better. Wecompare the performances of the two methods by plotting the Receiver OperatingCharacteristics (ROC) for the two strategies. Several of the results areobtained analytically in order to gain insight. Further we perform numericalsimulations in order to determine certain parameters in the analytic formulaeand thus obtain the final complete results. We consider here several cases fromthe relatively simple to the astrophysically more relevant in order toestablish our results. The bottom line is that the coherent strategy althoughmore computationally expensive in general than the coincidence strategy, issuperior to the coincidence strategy - considerably less false dismissalprobability for the same false alarm probability in the viable false alarmregime.Comment: 18 pages, 10 figures, typo correcte

Detecting gravitational waves from inspiraling binaries with a network of detectors: Coherent versus coincident strategies