Estimation of the Strength of a Periodic Signal from Photon Arrival Times

Details Estimation of the Strength of a Periodic Signal from Photon Arrival Times Estimation of the Strength of a Periodic Signal from Photon Arrival Times

Aug 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996apj...467..261s&link_type=abstract

Astrophysical Journal v.467, p.261

Astronomy and Astrophysics

Astronomy

20

Gamma Rays: Observations, Methods: Statistical, Methods: Data Analysis

Scientific paper

We present a very efficient nonparametric estimator for the strength of the periodic signal in a series of photon arrival times. The estimator is nonparametric in the sense that it does not depend on any a priori information about the shape of the source function. It is almost unbiased and has very small standard error. A confidence interval for the signal strength is also derived. A simple algorithm to implement the new estimator is provided. The performance of the estimator is illustrated on five sets of real data, yielding very satisfactory results.

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