Title :
Theo1 confidence intervals [frequency stability measurement applications]
Author :
Tasset, T.N. ; Howe, D.A. ; Percival, D.B.
Author_Institution :
Time & Frequency Div., Nat. Inst. of Stand. & Technol., USA
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 σy(τ) (Adev) in estimating long-term frequency stability, in that: (1) it can evaluate frequency stability at averaging times 50% longer 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.
Keywords :
frequency measurement; frequency stability; statistical distributions; Theo distribution function; Theo1 symmetric confidence intervals; averaging time; long-term frequency stability estimation; multiple sample statistic; small sample sizes; theoretical variance; Computational modeling; Distribution functions; Equations; Frequency estimation; NIST; Oscillators; Physics computing; Sampling methods; Stability; Statistics;
Conference_Titel :
Frequency Control Symposium and Exposition, 2004. Proceedings of the 2004 IEEE International
Print_ISBN :
0-7803-8414-8
DOI :
10.1109/FREQ.2004.1418554
