As an officer of the East India Company, Captain Cox was appointed Superintendent of Palongkee outpost after Warren Hastings became Governor of Bengal. Captain Cox was specially mobilised to deal with a century-long conflict between Arakan refugees and local Rakhains (see Rakhine State). He embarked upon the mammoth task of rehabilitating refugees in the area and made significant progress. A premature death took Captain Cox in 1799 before he could finish his work. To commemorate his role in rehabilitation work, a market was established and named after him: Cox's Bazar ("Cox's Market").
Cox was a member of the Asiatic Society, contributing scholarly articles on Asian culture to its journal Asiatic Researches. He is most noted for his theory of the origin of chess as a four-player game, known as the Cox-Forbes theory.
- G. P. Ramachandra (September 1981). "Captain Hiram Cox's Mission to Burma, 1796-1798: A Case of Irrational Behaviour in Diplomacy". Cambridge University Press. Retrieved 2012-12-27.
- Literary Gazette and Journal of Belles Lettres, Arts, Sciences, Volume 8. 1842-08-07. Retrieved 2012-12-27.
- "Captain Hiram Cox 1760-1799. Cox's Bazar, Bangladesh". Bangladesh Unlocked (Blog). Retrieved 2012-12-27.
- Duncan Forbes (linguist) (1860). The History of Chess. Wm H Allen & Co. Retrieved 2012-12-27.