Estimation of the Traffic Intensity in a Piecewise-stationary Mt/Gt/1 Queue with Probing

We use a probing strategy to estimate the time dependent traffic intensity in an Mt/Gt/1 queue, where the arrival rate and the general service-time distribution change from one time interval to another, and derive statistical properties of the proposed estimator. We present a method to detect a switch from a stationary interval to another using a sequence of probes to improve the estimation. At the end, we compare our results with two estimators proposed in the literature for the M/G/1 queue.

Measuring persistence in inflation: evidence for Angola

The purpose of this paper is to examine the degree of persistence in five inflation indicators for Angola, and to identify the implications for decision making. Our results suggest that when structural breaks are accounted for, all five inflation indicators are stationary. Second, our findings suggest that persistence is not too high. Moreover, the degree of persistence is similar among the five inflation indicators and throughout the sample period. Finally, our results also show that extracting the most volatile components of the headline inflation indicator does not generate a new inflation indicator that is less volatile and more persistent than the original. These results have important policy implications as the National Bank of Angola is preparing to change its monetary policy focus to a more inflation-targeting regime

Does final demand for energy in Portugal exhibit long memory

In this paper, we measure the degree of fractional integration in final energy demand in Portugal using an ARFIMA model with and without adjustments for seasonality. We consider aggregate energy demand as well as final demand for petroleum, electricity, coal, and natural gas. Our findings suggest the presence of long memory in all of the energy demand variables, that the series are stationary, although the mean reversion process will be slower than in the typical short run processes. These results have important implications for the design of energy policies. The effects of temporary policy shocks on final energy demand will tend to disappear slowly. This means that even transitory shocks have long lasting effects. Given the temporary nature of these effects, however, permanent effects require permanent policies. This is unlike what would be suggested by the more standard but much more limited unit root approach, which would incorrectly indicate that even transitory policies would have permanent effects.