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==== Most accurate distribution model ==== The first mathematical concern addressed by the USCF was the use of the [[normal distribution]]. They found that this did not accurately represent the actual results achieved, particularly by the lower rated players. Instead they switched to a [[logistic distribution]] model, which the USCF found provided a better fit for the actual results achieved.<ref>Elo 1986, ch. 8.73</ref>{{citation needed|date=March 2019}} FIDE also uses an approximation to the logistic distribution.<ref name="fiderr2017">{{cite report |title=FIDE Rating Regulations effective from 1 July 2017 |website=FIDE Online (fide.com) |publisher=[[FIDE]] |url=https://handbook.fide.com/chapter/B022017 |access-date=2017-09-09 |date= |archive-date=2019-11-27 |archive-url=https://web.archive.org/web/20191127231614/https://handbook.fide.com/chapter/B022017 |url-status=live }}</ref>
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