Editing Pythagorean expectation (section)

==Use in ice hockey==
In 2013, statistician Kevin Dayaratna and mathematician Steven J. Miller provided theoretical justification for applying the Pythagorean Expectation to ice hockey. In particular, they found that by making the same assumptions that Miller made in his 2007 study about baseball, specifically that goals scored and goals allowed follow [[Independence (probability theory)|statistically independent]] [[Weibull distribution]]s, that the Pythagorean Expectation works just as well for ice hockey as it does for baseball. The Dayaratna and Miller study verified the statistical legitimacy of making these assumptions and [[Maximum likelihood|estimated]] the Pythagorean exponent for ice hockey to be slightly above 2.<ref name=DayaratnaMiller2013>{{cite journal |last1=Dayaratna|first1=Kevin|last2=Miller|first2=Steven J. |journal=The Hockey Research Journal 2012/13| volume = XVI |year=2013 | pages = 193–209 |title=The Pythagorean Won-Loss Formula and Hockey: A Statistical Justification for Using the Classic Baseball Formula as an Evaluative Tool in Hockey |url=http://web.williams.edu/Mathematics/sjmiller/public_html/math/papers/DayaratnaMiller_HockeyFinal.pdf}}</ref>