Scale Parameter

Definition

Let $X_i=\theta W_i$, where $W_1,W_2,\dots ,W_n$, be Random Sample from a pdf $f_W(w)$ If $f_{X_i}(x)=\frac{1}{\theta }{f}_W\left(\frac{x}{\theta }\right)$, then $\theta$ is called scale parameter