Detection statistics
This patch implements a few detection statistics. Specifically, it implements single-IFO and network versions of
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realizations of statistics (drawn from appropriate distributions) -
matched filter S/N (maximized over amplitude separately in each IFO) -
matched filter S/N (maximized amplitude and coalescence phase separately in each IFO)
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probablity that of detection based on thresholds on observed S/N conditioned on true (optimal) S/N -
matched filter S/N (maximized over amplitude separately for each IFO) -
matched fitler S/N (maximized over amplitude and coalescence phase separately in each IFO)
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write up derivation of these results and include it within the repo (next to the source code) -
write and perform some basic tests test/test-observed-snr
test/test-detection-probability
Note! there are correlations between the single-IFO SNRs and the network SNRs so that one cannot construct quantities like P( (single > X) and (network > Y) )
from what is currently stored: P(single > X)
and P(network > Y)
. However, one can still estimate more complicated detection criteria by direct monte-carlo integration with an appropriate conditional in an EventGenerator. Similarly, the single-IFO probabilities are all independent, so one can compute quantities like P( at least 2 single > X)
from the appropriate combinations of the stored single-IFO probabilities.
Fixes #21 (closed).
Edited by Reed Essick