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Jun 09'24

Exercise

In one of the first studies of the Poisson distribution, von Bortkiewicz[Notes 1] considered the frequency of deaths from kicks in the Prussian army corps. From the study of 14 corps over a 20-year period, he obtained the data shown in Table.

Mule kicks.
Number of deaths Number of corps with [math]x[/math] deaths in a given year
0 144
1 91
2 32
3 11
4 2

Fit a Poisson distribution to this data and see if you think that the Poisson distribution is appropriate.

Notes

  1. L. von Bortkiewicz, Das Gesetz der Kleinen Zahlen (Leipzig: Teubner, 1898), p. 24.