We develop a Wald type test to distinguish between long memory and ESTARnonlinearity by using a directed-Wald statistic to overcome the problem of restricted parametersunder the alternative. The test is derived from two basic model specificationswhere the first is the standard model based on an...

We have developed a new test against spurious long memory based on the invarianceof long memory parameter to aggregation. By using the local Whittleestimator, the statistic takes the supremum among combinations of paired aggregatedseries. Simulations show that the test performs good in nite...