Editing Location parameter (section)

==Definition==
Source:<ref>{{Cite book |last1=Casella |first1=George |title=Statistical Inference |last2=Berger |first2=Roger |year=2001 |isbn=978-0534243128 |edition=2nd |pages=116|publisher=Thomson Learning }}</ref>

Let <math>f(x)</math> be any probability density function and let <math>\mu</math> and <math>\sigma > 0</math> be any given constants. Then the function

<math>g(x| \mu, \sigma)= \frac{1}{\sigma}f\left(\frac{x-\mu}{\sigma}\right)</math>

is a probability density function.


The location family is then defined as follows:

Let <math>
f(x)
</math> be any probability density function. Then the family of probability density functions <math>
\mathcal{F} = \{f(x-\mu) : \mu \in \mathbb{R}\}
</math> is called the location family with standard probability density function <math>
f(x)
</math>, where <math>
\mu
</math> is called the '''location parameter''' for the family.