GTA Chinatown Wars introduces new ways of getting rid of the police, alongside the ol' Pay'N'Spray shops. The authors give you an opportunity to take matters into your own hands. All you have to do is cause an accident involving several (or sometimes a dozen or so) cop cars. Using weapons is not recommended in this case, as you may accidentally blow up a cop car. This may bring an effect opposite from what you intended and intensify the pursuit. Sometimes it's necessary to back yourself up with a gun, though. When a cop tries to open the door of your car  and you are not able escape, just pull the trigger. The last way to get rid of the police is to save the game in one of your hideouts.
After dealing with the cops, stop in a secluded place and wait for the white stars in the top right-hand corner to stop blinking . The wanted levels and [numbers of cop cars you have to eliminate to shake off your pursuers] are given below:
The lowest 'wanted' level. You can wait for the pursuit to end by going to a secluded place. There aren't many cop cars chasing you. 
At this level there are more police cars on the streets but shaking off your pursuers is still a mere formality. 
A helicopter appears so try to avoid its cannon. You may also come across a cop van. Once you hijack it you get a bulletproof jacket. 
This time FBI cars join the pursuit. They resemble vans but their siren is placed on the hood. Hijacking them won't give you a bulletproof jacket. 
The streets are full of cop cars and of course each of them is trying to stop you. Apart from that nothing changes. 
The military with (unfortunately closed) tanks appears. The soldiers spare no bullets so out on the streets your chances are zero. You can either repaint your car or head to a hideout.