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Broken Stick Rule

​
number of pieces
10
The broken stick rule refers to the expected sizes of ordered spaces created by random points on a line. If the unit interval is divided into
n
spaces by
n-1
random points, the expected size of the
th
i
largest space is
n-i
∑
j=0
1
n-j
n
. The broken stick rule has been suggested as an explanation for the apparent power law behavior of firm sizes and market shares.
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