One of the most deadly police-involved type of incidents is pursuing a fleeing suspect in a motor vehicle.
http://www.usatoday.com/longform/news/2015/07/30/police-pursuits-fatal-injuries/30187827/
From 1979 to 2013, pursuits led to the deaths of 6,301 fleeing drivers, 5,066 non-violators, and 139 police officers.
The non-violators could have been passengers in the fleeing vehicle or bystanders who were hit in a crash caused by the fleeing vehicle.
California records from 2002 to 2014 indicate that “More than 89% were for vehicle-code violations, including speeding, vehicle theft, reckless driving, and 4,898 instances of a missing license plate or an expired registration.” Hmmm, most people would consider vehicle theft to be a much more serious crime than speeding, so lumping them together may be misleading. However, “Just 5% were an attempt to nab someone suspected of a violent crime, usually assault or robbery; 168 [0.3% of 63,500] sought a known murder suspect”.
Regarding reasons of fleeing, “A Justice Department-funded 1998 study found after interviewing fleeing drivers that 32% drove off because they were in a stolen car, 27% because they had a suspended driver’s license, 27% wanted to avoid arrest and 21% because they were driving drunk.”
The article advocates police use of a device that shoots a sticky GPS device to the fleeing vehicle. If successful, the police can stop the obvious pursuit but still keep track of where the vehicle is going and easily find it and make the arrest after the vehicle stops. But that does require getting close enough to tag the fleeing vehicle, meaning a pursuit would be needed until the fleeing vehicle is tagged.