October 2022
Intermediate to advanced
448 pages
12h 24m
English
book
Nonparametric Statistics with Applications to Science and Engineering with R, 2nd Edition
by Paul Kvam, Brani Vidakovic, Seong-joon Kim
Content preview from Nonparametric Statistics with Applications to Science and Engineering with R, 2nd Edition
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5Order Statistics
The early bird gets the worm, but the second mouse gets the cheese.
Steven Wright
Let 
be an independent sample from a population with absolutely continuous cumulative distribution function 
and density 
The continuity of 
implies that 
when 
and the sample could be ordered with strict inequalities:
(5.1)
where 
is called the 
order statistic (out of 
). The range of the data is , where and are, respectively, the sample maximum and minimum. The study of order statistics ...
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