How are these three crime-mystery authors

connected to one particular work of this sci-fi author?

Cracked by Dibyo , Chandrakant Nair , Rey de Vaqueiros , sidsen , Goyal , varuns88 , Ashwin , Priya , Debasish , akhi , udupendra , madhur , varmaOne , Rohan , Tathagata Chatterjee , Atul Mathew , insufferablejake , BiGFooT and rubhatta.

Answer:

The film Minority Report is based on a Philip K Dick short story of the same name.

In the book, the precogs are named Mike DOnna and Jerry. But the movie renamed them Agatha, Arthur and Dashiell, a tribute to Agatha Christie, Arthur Conan Doyle and Dashiel Hammett (respectively).