Statistical processing of data sets obtained with a gravitational detector

Mathematics – Probability

Scientific paper

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Data Processing, Gravimeters, Gravitational Waves, Random Processes, Statistical Analysis, Angular Distribution, Cylindrical Antennas, Probability Distribution Functions, Signal Detection, Time Dependence

Scientific paper

A technique is examined for statistical analysis of time-dependent data sets obtained with a gravitational detector based on a cylindrical antenna. The concept of a useful signal is introduced, proceeding from the assumption that the detector has a directional diagram. Criteria for determining the probability that a signal is present are given, and a technique is outlined for evaluating the probability that an observed signal is caused by gravitational emission from a source in space.

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