On Sunday, May 3, 2020 at 12:19:52 AM UTC-6, Brent wrote:
>
>
>
> On 5/2/2020 10:50 PM, Alan Grayson wrote:
>
> You mean to experimentally estimate it from the scatter of results?  That 
>> depends on how accurately you want to estimate.  The error scales as 
>> 1/sqrt(N).  In most experiments with photons or electrons, it's easy to 
>> make N big.  But it's also hard to eliminate other sources of scatter that 
>> have nothing to do with the UP.  So only experiments deliberately designed 
>> for maximum precision are going to push the UP bounds for simultaneous 
>> measurements. 
>>
>> Brent
>>
>
> If the experiment is designed for max precision, how large does N have to 
> be to satisfy the UP? TIA, AG 
>
>
> That doesn't quite make sense.  It takes two to get an estimate of the 
> variance and the first two you measure may satisfy the UP or they may 
> violate the NP.  The variance, and the std deviation estimators are random 
> variables, obey a certain distribution.  The bigger N the tighter the 
> estimate.  In almost all experiments there will be other sources of 
> randomness and the estimate will converge around some uncertainty bigger 
> than h, which is satisfying the UP.
>
> Brent
>

What is NP? If sample size doesn't satisfy the UP, how large must N be? AG 

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