Background: England and France only colonized the Pacific
(including Australia and New Zealand) at the end of the eighteenth century.
Previously Spain claimed the Pacific as part of The Indies.
Therefore Spanish colonists also called inhabitants of the Pacific
"Indians." From the 1750s on, Spanish colonizers lost their
Pacific colonies (except the Phillipines). Eighteenth- and nineteenth-century
French and British colonizers re-christened the natives when they began
colonization. 
Englishmen settling Australia in 1788
called the inhabitants were "aborigines" deriving from
the Latin, meaning "original inhabitants. English colonists also
used Latin to characterize the legal status of the country as "terra
nullius," literally, the land of no one.
Recently Australia's natives have begun preferring to use their own
word for person rather than the English term. "Koori" has become common
in New South Wales and Victoria, while other terms have become used
elsewhere in Australia.
In the nineteenth century, English colonizers followed
a different custom when naming the in habitants of Polynesia (which includes
New Zealand). Maori is the name that the inhabitants of New
Zealand called themselves. In Polynesia, the British kept the natives' name
the for themselves--Maori, Tongan, Samoan--while taking on a local term for
themselves. Accordingly they adopted an earlier Malay term for themselves--meaning
"cloth" men--leaving the natives with their own names for themselves.
Thus descendents of English settlers call themselves "pakeha."