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particle count probability

2 messages · Roger Koenker, Jim Lemon

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Somewhere, buried in the vast literature on the Wicksell problem, there is probably an answer, or at least a hint.
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Hi Petr,
This is off the top of my head, but I assume that the shape of the
particle is not considered in counting. Assume particles are uniformly
distributed in the viewing field. If all particles entirely within the
field are counted, large particles will be undercounted. If all
particles within or intruding on the field are counted, large
particles will be overcounted. I do not have an analytic proof of
this, but the average of the two counts may provide a true count.

Hi Roger,
The Wicksell problem looks fascinating, although I don't think it
solves Petr's problem. I will study it further.

Jim
On Wed, Feb 20, 2019 at 10:34 PM Roger Koenker <rkoenker at illinois.edu> wrote: