Duration series often exhibit long-range dependence and local nonstationarities. Here, exponential FARIMA (EFARIMA) and exponential SEMIFAR (ESEMIFAR) models are introduced. These models capture simultaneously nonstationarities in the mean as well as short- and long-range dependence, while...

The distinction between stationarity, difference stationarity, deterministictrends as well as between short- and long-range dependence has a major impact onstatistical conclusions, such as confidence intervals for population quantities or point and interval forecasts. SEMIFAR models introduced...