Editing Student's t-distribution (section)

====Location-scale transformation====
Student's {{mvar|t}}&nbsp;distribution generalizes to the three parameter ''location-scale {{mvar|t}}&nbsp;distribution'' <math>\operatorname{\ell st}(\mu,\ \tau^2,\ \nu)\ </math> by introducing a [[location parameter]] <math>\ \mu\ </math> and a [[scale parameter]] <math>\ \tau ~.</math> With
:<math>\ T \sim t_\nu\ </math>
and [[location-scale family]] transformation
:<math>\ X = \mu + \tau\ T\ </math>
we get
:<math>\ X \sim \operatorname{\ell st}(\mu,\ \tau^2,\ \nu) ~.</math>

The resulting distribution is also called the ''non-standardized Student's {{mvar|t}}&nbsp;distribution''.