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3.3Counter Physics---Introduction and
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3: Estimation of
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Solution and Errors
Estimate of Errors to be Used in Fits
One should also mention that there are two versions of
depending on whether error
taken from ``experiment'' or ``estimated theoretically.''
In the latter case, it will be a function of the parameters to be varied.
For example, suppose
is number of events in some counting experiment.
The
(experimental)
but
(theory)
.
Now
is only Gaussian for large
, but then
and
are essentially same.
If
, then theoretical
is to be preferred!---although
method itself is in difficulties as
not Gaussian.
It is technically best to go back to maximum likelihood and put in true Poisson distribution for
.
Geoffrey Fox
,
Northeast Parallel Architectures Center
at Syracuse University,
gcf@npac.syr.edu