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Updated: Aug 7, 2026

A Test Bed to Examine Helmet Fit and Retention and Biomechanical Measures of Head and Neck Injury in Simulated Impact
Published on: September 21, 2017
Error bars for three-cornered hats
Christopher R Ekstrom1, Paul A Koppang
1U.S. Naval Observatory, Washington, DC, USA. ekstrom@atom.usno.navy.mil
Abstract:
Abstract-The three-cornered hat is a procedure for extracting the stabilities of three clocks when the only available data is the time or frequency differences between the clocks. To our knowledge, there has been no method of determining a confidence interval for such a stability estimate. In this paper, we present a method for determining the number of degrees of freedom of the estimate, which allows the assignment of a confidence interval to a three-cornered hat stability estimate. We also investigate using the total variance and biases involved.
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