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

2016/01/06 by S. Zucker, Shay Zucker · 2 citations
Chemistry · Engineering · Mathematics · Physics and Astronomy · #Algorithm #Astrophysics #Autocorrelation #Computer science #Data mining #Engineering #Geology #Independence (probability theory) #Mathematics #Measure (data warehouse) #Metric (unit) #Molecular spectroscopy and chirality #Physics #RR Lyrae variable #Sawtooth wave #Series (stratigraphy) #Spectroscopy and Chemometric Analyses #Stars #Statistics #Stellar, planetary, and galactic studies #Telecommunications #astro-ph.IM

paper · pdf · doi:10.1093/mnrasl/slw002

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

arxiv created 2016/01/06 · openalex publication_date 2016/01/29 · arxiv updated 2016/02/03 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

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 sawtooth-like shapes. The expected astronomical implications are much more detections of RR-Lyrae stars and Cepheids in sparse photometric data bases, and of eccentric Keplerian radial-velocity (RV) curves, such as those of exoplanets in RV surveys.

Citations

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