  We use the Global Historical Climatology Network--daily database to calculate
a nonparametric statistic that describes the rate at which all-time daily high
and low temperature records have been set in nine geographic regions
(continents or major portions of continents) during periods mostly from the
mid-20th Century to the present. This statistic was defined in our earlier work
on temperature records in the 48 contiguous United States. In contrast to this
earlier work, we find that in every region except North America all-time high
records were set at a rate significantly (at least $3\sigma$) higher than in
the null hypothesis of a stationary climate. Except in Antarctica, all-time low
records were set at a rate significantly lower than in the null hypothesis. In
Europe, North Africa and North Asia the rate of setting new all-time highs
increased suddenly in the 1990's, suggesting a change in regional climate
regime; in most other regions there was a steadier increase.
