Detection of Periodicity Based on Independence Tests - II. Improved Serial Independence Measure

Abstract

We introduce an improvement to a periodicity metric we have introduced in a previous paper.We improve on the Hoeffding-test periodicity metric, using the Blum-Kiefer-Rosenblatt (BKR) test. Besides a consistent improvement over the Hoeffding-test approach, the BKR approach turns out to perform superbly when applied to very short time series of sawtoothlike shapes. The expected astronomical implications are much more detections of RR-Lyrae stars and Cepheids in sparse photometric databases, and of eccentric Keplerian radial-velocity (RV) curves, such as those of exoplanets in RV surveys.

5 pages, 7 figures, accepted for publication in MNRAS Letters

References in corpus (3)

• The generalised Lomb-Scargle periodogram. A new formalism for the floating-mean and Keplerian periodograms
• Standard candles from the Gaia perspective
• Detection of Periodicity Based on Serial Dependence of Phase-Folded Data

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• Radial Velocity Data Analysis with Compressed Sensing Techniques
• Improving exoplanet detection capabilities with the false inclusion probability. Comparison with other detection criteria in the context of radial velocities
• Robust period estimation using mutual information for multi-band light curves in the synoptic survey era
• Methods of Reverberation Mapping. I. Time-lag Determination by Measures of Randomness
• Detection of Periodicity Based on Independence Tests - III. Phase Distance Correlation Periodogram
• Detection of Periodicity Based on Independence Tests - IV. Phase Distance Correlation Periodogram for Two-Dimensional Astrometry