[neutron-mc] Statistical Errors question:
Peter Willendrup
peter.willendrup at risoe.dk
Tue Jun 3 13:54:07 CEST 2008
Hello Aaron,
On Jun 3, 2008, at 3:56 AM, Aaron M. Percival wrote:
> In section 4.2.1 of the McStas user manual makes the following
> statement:
>
> "...we observe a large number of neutrons, N >= 10. Then N almost
> follows a normal distribution with the uncertainty sigma(N) =
> sqrt(N')."
>
> Here N is the number of neutron counts in a particular bin of a
> monitor.
>
> I was wondering why mathematically this is true. Is it an
> application of the Central Limit Theorem?
Probably true. In case you want a more formal proof of this, see for
instance Byron P. Roe "Probability and Statistics in Experimental
Physics",
ISBN 0-387-97849-6, Springer Verlag, pp. 35-37. (Or likely any other
standard book on the topic.)
Cheers,
Peter
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