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From (22), we note that each column of M appears exactly two times (the first column of M is the same as the (N+1) th column, and the i th column of M is the same as the (2N−i+2) th column, for i=2,…, N).
Now, draw N independent samples, X i, i=1,2,… N following this distribution (here N is of course the (unknown) size of the population) and let h j denote the count of cases where X i = j for j=1,2,… T. That is, h1 is the number of observed cases that was registered exactly once, h2 the number of cases observed exactly two times, etc.
Similar(58)
K.K. chewed his food exactly ten times before swallowing.
Horowitz pointed out that he is exactly four times Landesman's age.
I've ridden in the rain exactly four times and have been truly soaked only twice.
(O.K., let's be honest: I laughed exactly three times). There are some enjoyable musical routines.
The perimeter is exactly six times the radius r of the circle, or 6r.
He has been to the observation deck, he said, exactly four times.
It ended up at €272,625, multiplying exactly six times the upper end of the estimate.
Within those 28 years, each date falls on each day of the week exactly four times.
After examining my income and expenditure, it agreed a loan exactly four times my annual salary.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com