Statement-1 :  For an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the train, while the distant objects appear to be stationary .
Statement-2 :  If the observer and the object are moving at velocities $\overline{v_1}$ and $\overline{v_2}$ respectively with reference to a laboratory frame, the velocity of the object with respect to the observer is $\overline{v_2}-\overline{v_1}$ 

For a nearby object, the angular displacement is larger than that of distant object for same amount of linear displacement of the observer.

$\mathrm{\theta }=\frac{\mathrm{d}}{\mathrm{D}}$ where, d is linear displacement and D is distant of the object from observer.

Hence, for an observer looking out through the window of a fast moving train, the nearby objects appear to move in the opposite direction to the train, while the distant objects appear to be stationary .

relative velocity of object with respect to observer is calculated as,

$\overrightarrow{{\mathrm{v}}_{\mathrm{rel}}}=\overrightarrow{{\mathrm{v}}_{\mathrm{obj}}}-\overrightarrow{{\mathrm{v}}_{\mathrm{obs}}}$

$\Rightarrow \overrightarrow{{\mathrm{v}}_{\mathrm{rel}}}=\overrightarrow{{\mathrm{v}}_2}-\overrightarrow{{\mathrm{v}}_1}$

Both statements are true but, Statement-2 is NOT a correct explanation for Statement-1.