What is the Difference between AHD, CVI and TVI Security Cameras?

In the world of COAX CCTV Cameras there are 3 common video transmission technologies in use today. These are HD-CVI, HD-TVI and AHD. All 3 of these connect to a DVR recorder using a BNC connection on a COAX cable.
What is the difference and when should you use these?
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