Degrees of Freedom and Three-Cornered Hats

Christopher R. Ekstrom, Paul A. Koppang

Abstract: The three-cornered hat is a procedure for extracting the stabilities of three clocks when the only available information 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.
Published in: Proceedings of the 33th Annual Precise Time and Time Interval Systems and Applications Meeting
November 27 - 27, 2001
Hyatt Regency Long Beach
Long Beach, California
Pages: 425 - 430
Cite this article: Ekstrom, Christopher R., Koppang, Paul A., "Degrees of Freedom and Three-Cornered Hats," Proceedings of the 33th Annual Precise Time and Time Interval Systems and Applications Meeting, Long Beach, California, November 2001, pp. 425-430.
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