Editing Scale parameter (section)

===Families with Location Parameters===
In the case where a parametrized family has a [[location parameter]], a slightly different definition is often used as follows. If we denote the location parameter by <math>m</math>, and the scale parameter by <math>s</math>, then we require that <math>F(x;s,m,\theta)=F((x-m)/s;1,0,\theta)</math> where <math>F(x,s,m,\theta)</math> is the CDF for the parametrized family.<ref>{{cite web |url= http://www.encyclopediaofmath.org/index.php?title=Scale_parameter&oldid=13206 |title= Scale parameter
 |last=Prokhorov |first=A.V. |date= 7 February 2011 |website=Encyclopedia of Mathematics |publisher= Springer |access-date=7 February 2019}}</ref> This modification is necessary in order for the standard deviation of a non-central Gaussian to be a scale parameter, since otherwise the mean would change when we rescale <math>x</math>. However, this alternative definition is not consistently used.<ref>{{cite web |url=https://www.math.kth.se/matstat/gru/sf2955/scaleparameter |title= Scale parameter
 |last=Koski |first=Timo |website=KTH Royal Institute of Technology|access-date=7 February 2019}}</ref>