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Surname Doig (دويج , Doig , Дойг ) , globally, is quite a common last name. The cognomen Doig is habitual in Australia, where it is quite a rare surname, New Zealand, and the United Kingdom. Measured by absolute frequency, the name is most common in the United Kingdom, the United States, and Australia. Much less frequently, Doig is the forename as well as the last name.