Revision as of 02:20, 9 June 2024 by Bot (Created page with "<div class="d-none"><math> \newcommand{\NA}{{\rm NA}} \newcommand{\mat}[1]{{\bf#1}} \newcommand{\exref}[1]{\ref{##1}} \newcommand{\secstoprocess}{\all} \newcommand{\NA}{{\rm NA}} \newcommand{\mathds}{\mathbb}</math></div> In one of the first studies of the Poisson distribution, von Bortkiewicz<ref group="Notes" >L. von Bortkiewicz, ''Das Gesetz der Kleinen Zahlen'' (Leipzig: Teubner, 1898), p.\ 24.</ref> considered the frequency of deaths from kicks in the Prussi...")
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Jun 09'24
Exercise
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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.
| 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