Plotting position: Difference between revisions

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|Meaning=An empirical distribution, based on a [[random sample]] from a (possibly unknown)  [[probability distribution]], obtained by plotting the exceedance (or cumulative) [[probability]] of the  [[sample]] distribution against the sample value.
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|Explanation=The [[exceedance probability]] for a particular sample value is a function of sample size and the  rank of the particular sample. For exceedance probabilities, the sample values are ranked from  largest to smallest. The general expression in common use for plotting position is  <blockquote>[[File:ams2001glos-Pe18.gif|link=|center|ams2001glos-Pe18]]</blockquote> where ''r'' is the ordered rank of a sample value, ''n'' is the sample size, and ''b'' is a constant between  0 and 1, depending on the plotting method. <br/>''See'' [[California plotting position]], [[Cunnane plotting position|Cunnane plotting  position]], [[Gringorten plotting position]], [[Hazen plotting position]], [[Weibull plotting position]].
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== plotting position ==
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<div class="definition"><div class="short_definition">An empirical distribution, based on a [[random sample]] from a (possibly unknown)  [[probability distribution]], obtained by plotting the exceedance (or cumulative) [[probability]] of the  [[sample]] distribution against the sample value.</div><br/> <div class="paragraph">The [[exceedance probability]] for a particular sample value is a function of sample size and the  rank of the particular sample. For exceedance probabilities, the sample values are ranked from  largest to smallest. The general expression in common use for plotting position is  <div class="display-formula"><blockquote>[[File:ams2001glos-Pe18.gif|link=|center|ams2001glos-Pe18]]</blockquote></div> where ''r'' is the ordered rank of a sample value, ''n'' is the sample size, and ''b'' is a constant between  0 and 1, depending on the plotting method. <br/>''See'' [[California plotting position]], [[Cunnane plotting position|Cunnane plotting  position]], [[Gringorten plotting position]], [[Hazen plotting position]], [[Weibull plotting position]].</div><br/> </div>
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Latest revision as of 03:41, 29 March 2024

An empirical distribution, based on a random sample from a (possibly unknown) probability distribution, obtained by plotting the exceedance (or cumulative) probability of the sample distribution against the sample value.
The exceedance probability for a particular sample value is a function of sample size and the rank of the particular sample. For exceedance probabilities, the sample values are ranked from largest to smallest. The general expression in common use for plotting position is
ams2001glos-Pe18
where r is the ordered rank of a sample value, n is the sample size, and b is a constant between 0 and 1, depending on the plotting method.
See California plotting position, Cunnane plotting position, Gringorten plotting position, Hazen plotting position, Weibull plotting position.
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