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

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