We examine monthly inflation rates of five industrial countries. The a
pplication of tests against stationarity as well as tests against a un
it root yield contradictory results. Thus fractional integration allow
ing for long memory is a plausible model. We discuss and apply the per
iodogram regression to estimate the difference parameters. For all cou
ntries we find estimates significantly different from 1 as well as fro
m 0. This is evidence in favor of long memory. Specification tests and
maximum likelihood estimates support the fitted models. Finally, we r
elate our empirical results to the construction of the data.