Cumulative distribution function: Difference between revisions

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[[Image:Folded-cumulative-distribution-function.svg|thumb|right|Example of the folded cumulative distribution for a [[normal distribution]] function with an [[expected value]] of 0 and a [[standard deviation]] of 1.]]
While the plot of a cumulative distribution often has an S-like shape, an alternative illustration is the '''folded cumulative distribution''' or '''mountain plot''', which folds the top half of the graph over,<ref name="Gentle">{{cite book| author = Gentle, J.E.| title = Computational Statistics| url = https://books.google.com/?id=m4r-KVxpLsAC&pg=PA348| accessdate = 2010-08-06| year = 2009| publisher = [[Springer Science+Business Media|Springer]]| isbn = 978-0-387-98145-1 }}{{Page needed|date=June 2011}}</ref><ref name="Monti">
{{cite journal|author=Monti, K.L.|pages=342–345|year=1995|title=Folded Empirical Distribution Function Curves (Mountain Plots) |journal=The American Statistician|volume=49|issue=4|jstor=2684570|doi=10.2307/2684570}}</ref>
thus using two scales, one for the upslope and another for the downslope. This form of illustration emphasises the [[median (statistics)|median]] and [[dispersion (statistics)|dispersion]] (specifically, the [[mean absolute deviation]] from the median<ref>{{Cite journal
| last1 = Xue | first1 = J. H.
| volume = 81 | issue = 8 | pages = 1179–1182
| year = 2011
| pmid = | pmc = | url = https://hal.archives-ouvertes.fr/hal-00753950/file/PEER_stage2_10.1016%252Fj.spl.2011.03.014.pdf
| pmid = | pmc = }}<</ref>) of the distribution or of the empirical results.
 
===Inverse distribution function (quantile function)===
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