How to find the distribution probability in user's chech-ins?

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I read a paper that mentioned the user's check-in behavior follow a power-law distribution. I want to know how to I can calculate a user's check-in behavior?

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This is the figure of probability and they said:

To obtain this measurement, we calculate the distances between all pairs of POIs that a user has checked in and plot a histogram (actually probability density function) over the distance of POIs checked in by the same user. As shown in Figure 2, a significant percentage of POIs pairs checked in by the same user appears to be within short distance, indicating a geographical clustering phenomenon in user check-in activities.7

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