Westernized Chinese names seem to be missing. For example, in Hong Kong it's common to have both Chinese and Western first names. This leads to a complex rule:
Using the Western name only: WESTERN-FIRST CHINESE-LAST
Using the Chinese name only: CHINESE-LAST CHINESE-FIRST
Using both: WESTERN-FIRST CHINESE-LAST CHINESE-FIRST
(CHINESE-FIRST can be one or two characters). I think I got that right?