Even we might not be fully aware of Doppler effect in our daily life, it is everywhere in signal transmission over variable distance, e.g. sight and sound of moving object. Basically, any signal delivery in changing distance between the sender and the receiver. All creatures cope with Doppler effect. Ball player, predator and it's prey, mobile radio, echolocation, etc. This study Derives the stochastic functions of blueshift and redshift.
Viewing the random motion, an observer might think it is 50-50 chances that an object would move toward or away. It might be intuitive, however, it is far from the truth. Doppler blueshift detection is terminal event. It will terminate and switch to redshift at zero meridian. On the other hand, redshift could continue beyond the limit of observation. This natural of Doppler effect makes redshift highly dominating in all observations.