Understood in it's historical context, the term near miss is actually quite concise and used throughout the aviation world. Its definition is found in the bible of aviation, The Airman's Information Manual : "...A near midair collision is defined as an incident associated with the operation of an aircraft in which a possibility of collision occurs as a result of proximity of less than 500 feet to anotheraircraft, or a report is received from a pilot or a flight crew member
stating that a collision hazard existed between two or more aircraft."
Unfortunately, for the public at large, it should always be presented thusly: near-miss. It simply means that two (or more) aircraft missed each other when in very near proximity. My understanding is the organization known as ICAO, which is international in scope adopted the term many years ago to capture the data on such events in trying to find better ways of avoiding them. One of the outgrowths of the data and subsequent technological advances is a system universally used by airlines and a large segment of other aircraft is the Traffic-Alert and Collision Avoidance System (TCAS). it's ingenious in that it doesn't require any input from ground based facilities since it's each aircraft's equipment "talking" to all other so equipped aircraft...