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2010

The H-test probability distribution revisited: Improved sensitivity

de Jager, O. C., Büsching, I.

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Aims: To provide a significantly improved probability distribution for the H-test for periodicity in X-ray and $\gamma$-ray arrival times, which is already extensively used by the $\gamma$-ray pulsar community.

Also, to obtain an analytical probability distribution for stacked test statistics in the case of a search for pulsed emission from an ensemble of pulsars where the significance per pulsar is relatively low, making individual detections insignificant on their own.
This information is timely given the recent rapid discovery of new pulsars with the Fermi-LAT t $\gamma$-ray telescope.
Methods: Approximately $10^{14}$ realisations of the H-statistic ($H$) for random (white) noise is calculated from a random number generator for which the repitition cycle is $\gg 10^{14}$.

The H-test probability distribution revisited: Improved sensitivity · Around

Built on

Beran, R.J. 1969, Ann. Math. Stat., 40, 1196
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Hart, J.D. 1985, J. Statist. Comput. Simul., 21, 95
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Buccheri, R., & de Jager, O.C. 1989, NATO A.S.I. Workshop on Timing Neutron Stars, eds. H. Ögelman & E.P.J. van den Heuvel, Kluwer, Dordrecht, p. 95
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Similar

de Jager, O.C., Swanepoel, J.W.H., & Raubenheimer, B.C. 1989, A&A, 221, 180 (DSR)
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Then

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Later among the works it cites.
Abdo, A.A. et al. 2009, Science, 325, (5942), 840
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Weltevrede, P., Abdo, A.A., et al. 2010, ApJ, 708, 1426
2010
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