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Related Experiment Videos

Error bars for three-cornered hats.

Christopher R Ekstrom1, Paul A Koppang

  • 1U.S. Naval Observatory, Washington, DC, USA. ekstrom@atom.usno.navy.mil

IEEE Transactions on Ultrasonics, Ferroelectrics, and Frequency Control
|June 13, 2006
PubMed
Summary

This study introduces a confidence interval for the three-cornered hat method, crucial for estimating clock stability from time or frequency differences. The new method determines degrees of freedom for more reliable stability assessments.

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Degrees of Freedom for Allan Deviation Estimates of Multiple Clocks.

IEEE transactions on ultrasonics, ferroelectrics, and frequency controlยท2015
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Area of Science:

  • Metrology
  • Timekeeping
  • Statistical Analysis

Background:

  • The three-cornered hat method estimates clock stability using time/frequency differences.
  • Existing methods lack confidence intervals for stability estimates.

Purpose of the Study:

  • To develop a method for assigning confidence intervals to three-cornered hat stability estimates.
  • To investigate the impact of total variance and biases on stability estimation.

Main Methods:

  • Determining the number of degrees of freedom for the stability estimate.
  • Applying statistical methods to derive confidence intervals.

Main Results:

  • A novel method for calculating confidence intervals for three-cornered hat stability estimates is presented.
  • The study investigates the role of total variance and biases in the estimation process.

Conclusions:

  • The proposed method enables statistically sound confidence intervals for clock stability.
  • This advancement improves the reliability of clock stability assessments using the three-cornered hat technique.

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