Talk:Percentile: Difference between revisions

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imported>Peter Schmitt
(→‎replacint WP: typo corrected)
imported>Boris Tsirelson
(→‎Not quite so: new section)
Line 5: Line 5:
I replaced the WP import by a new article, and added an example (test results) previously inserted  
I replaced the WP import by a new article, and added an example (test results) previously inserted  
by [[User:Anh Nguyen|Anh Nguyen]] (3rd revision, 10:11, 8 November 2006). [[User:Peter Schmitt|Peter Schmitt]] 16:03, 23 November 2009 (UTC)
by [[User:Anh Nguyen|Anh Nguyen]] (3rd revision, 10:11, 8 November 2006). [[User:Peter Schmitt|Peter Schmitt]] 16:03, 23 November 2009 (UTC)
== Not quite so ==
The implication
:    <math> P(\omega = x) > 0 \Rightarrow
            P(\omega\le x) > {k\over100}    \textrm{\ \ and \ \ }
            P(\omega\ge x) > 1-{k\over100}  </math>
is not always true; when ''k'' is at the left endpoint of the relevant interval, the first inequality is not strict; and when ''k'' is at the right endpoint of the relevant interval, the second inequality is not strict. In addition, I did not understand from the article, is ''k'' assumed to be integral, or not? If it is then these non-strict inequalities become more rare cases, but still possible. [[User:Boris Tsirelson|Boris Tsirelson]] 19:11, 26 November 2009 (UTC)

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 Definition A statistical parameter separating the k percent smallest from the (100-k) percent largest values of a distribution. [d] [e]
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Replacing WP

I replaced the WP import by a new article, and added an example (test results) previously inserted by Anh Nguyen (3rd revision, 10:11, 8 November 2006). Peter Schmitt 16:03, 23 November 2009 (UTC)

Not quite so

The implication

is not always true; when k is at the left endpoint of the relevant interval, the first inequality is not strict; and when k is at the right endpoint of the relevant interval, the second inequality is not strict. In addition, I did not understand from the article, is k assumed to be integral, or not? If it is then these non-strict inequalities become more rare cases, but still possible. Boris Tsirelson 19:11, 26 November 2009 (UTC)