Tasset, T.
, Howe, D.
and Percival, D.
(2004),
Theo1 Confidence Intervals, Proc. IEEE Intl. Ultrasonics, Ferroelectrics, and Frequency Control Anniversary Joint Conf., , USA, [online], https://tsapps.nist.gov/publication/get_pdf.cfm?pub_id=50161
(Accessed December 11, 2024)
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Theo1 Confidence Intervals
Published
Author(s)
, , Donald B. Percival
Abstract
Theoretical variance #1 (Theo1) has been developed at NIST to improve the estimation of long-term frequency stability. Its square-root (Theo1-dev) has two significant improvements over the Allan deviation XX called ¿Adev" in estimlating long-term frequency stability in that (1) it can evaluate frequency stability at averaging times 50 % longe'r than those of Adev and (2) it can estimate frequency stability with greater confidence than any other estimator. We discuss a method for determining the exact confidence intervals of Theo1, particularly useful for small sample sizes, using analytic techniques. The confidence intervals of Theo1 are narrower and less skewed ( more symmetric) than confidence intervals based on chi-square.Proceedings Title
Proc. IEEE Intl. Ultrasonics, Ferroelectrics, and Frequency Control Anniversary Joint Conf.
Conference Dates
August 23-27, 2004
Conference Location
, USA
Conference Title
IEEE Intl. Ultrasonics, Ferroelectrics, and Frequency Control Conf.
Pub Type
Conferences
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Keywords
Allan variance, Chi-square, confidence interval, distribution function, frequency stabilization, frequency standard, Theo1, TheoH
Citation
Issues
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Created August 22, 2004, Updated October 12, 2021