[time-nuts] Nerd facts - 45 years since Allan variance article

[paul swed]

seems the first document doesn't work.
Any other way to get it?

On Sat, Feb 19, 2011 at 8:09 AM, Magnus Danielson <
magnus at rubidium.dyndns.org> wrote:

> Fellow time-nuts,
>
> I thought that a small blip on the screen to alert you on historical
> context was appropriate.
>
> In 1964 NASA and IEEE held a "NASA-IEEE Symposium on Short-Term Stability"
> [1] producing a nice set of articles.
>
> This was followed a special issue of IEEE proceedings on Frequency
> Stability in Feb 1966. In this the articles "Statistics of Atomic Frequency
> Standards" by David W. Allan [2] summarise various M-sample variance
> measures, analyses them and find them bias-related to the 2-sample variance.
> Further, the analysis provide proof for the convergence problems for large M
> values, thus showing that the 2-sample variance provides a base-case which
> every other M-sample variance can be related to. Essentially this kills the
> interest in M-sample variances and replaces it with the 2-sample variance.
> Similarly, for dead-time values they can using bias functions be related to
> non dead-time values. So, this unified variance of 2-sample and no dead-time
> is proposed as a unified vairance later called Allan's variance or Allan
> variance in todays speach.
>
> Anyway, it is now 45 years ago since that article (and several others worth
> reading). I've tried to get a summary in the Allan variance article on
> Wikipedia [3]. After these articles the field has been improved
> significantly by improved analysis on biases, noise-separations, statistical
> certainty and improved estimators to achieve the high statistical certainty.
>
> [1] http://hdl.handle.net/2060/19660001092
>
> [2] http://tf.boulder.nist.gov/general/pdf/7.pdf
>
> [3] http://en.wikipedia.org/wiki/Allan_variance
>
> Cheers,
> Magnus
>
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