On periodicity tests and flux limit calculations for gamma-ray pulsars

Details On periodicity tests and flux limit calculations for gamma-ray pulsars On periodicity tests and flux limit calculations for gamma-ray pulsars

Nov 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994apj...436..239d&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-367X), vol. 436, no. 1, p. 239-248

Statistics

46

Flux Density, Gamma Rays, Periodic Variations, Pulsars, X Rays, Mathematical Models, Monte Carlo Method, Normal Density Functions, X Ray Spectra

Scientific paper

The H-test is known to be powerful against a wide range of possible pulse shapes. In this paper we derive analytic expressions for flux limits for single pulses (with any duty cycle) following a nondetection from this test. General flux limits are also derived for Crab-, Vela-, and Geminga-type pulse profiles, which show that there is an experimental bias against Geminga-type profiles (the well-known Zm squared test also shares this problem) which have a phase separation of 180 deg. A few pulsars are known to emit phase-locked single pulses with a broadband non-thermal spectrum. The pulse phase mu has been determined for each of these pulsars, and future searches for pulsed emission at phase mu from any of these pulsars can be made with our proposed Cm or 'cosine' test, which is shown to be more powerful than any previously known test. The significance of a detection is given by the value of Cm, which is N(0, 1) distributed for noise. Flux calculations and limits follow explicitly from Gaussian statistics. A consistency check (aslo in terms of Gaussian statistics) for phase locking is also derived for this test.

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