Editing Interval estimation (section)

{{Short description|Interval bounded by an upper and a lower limit statistics}}
In [[statistics]], '''interval estimation''' is the use of [[Sample (statistics)|sample data]] to [[estimation|estimate]] an ''[[interval (mathematics)|interval]]'' of possible values of a [[Statistical parameter|parameter]] of interest. This is in contrast to [[point estimation]], which gives a single value.<ref name="Neyman1937">{{cite journal | last=Neyman | first=J. |author-link=Jerzy Neyman| title=Outline of a Theory of Statistical Estimation Based on the Classical Theory of Probability | journal=Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences | publisher=The Royal Society | volume=236 | issue=767 | year=1937 | issn=0080-4614 | jstor=91337 | pages=333–380 | doi=10.1098/rsta.1937.0005 | bibcode=1937RSPTA.236..333N | s2cid=19584450 | url=http://www.jstor.org/stable/91337 | access-date=2021-07-15| doi-access=free | url-access=subscription }}</ref>

The most prevalent forms of interval estimation are ''[[confidence interval]]s'' (a [[frequentism|frequentist]] method) and  ''[[credible interval]]s'' (a [[Bayesian method]]).<ref name="Severini1991">{{cite journal | last=Severini | first=Thomas A. | title=On the Relationship between Bayesian and Non-Bayesian Interval Estimates | journal=Journal of the Royal Statistical Society, Series B (Methodological) | publisher=Wiley | volume=53 | issue=3 | year=1991 | issn=0035-9246 | doi=10.1111/j.2517-6161.1991.tb01849.x | pages=611–618}}</ref> Less common forms include ''[[likelihood interval]]s,'' ''[[fiducial interval]]s,'' ''[[tolerance interval]]s,'' and ''[[prediction interval]]s''. For a non-statistical method, interval estimates can be deduced from [[fuzzy logic]].