Noisy observations form the basis for almost every scientific research and especially in environmental monitoring. The Noise is often an effect of imprecise instruments which cause measurement errors. If the noise variance is known it is possible to filter out the contaminating noise from the...

This paper analyses a class of nonlinear time series models exhibiting long memory. These processes exhibit short memory fluctuations around a local mean (regime) which switches randomly such that the durations of the regimes follow a power law. We show that if a large number of independent...

The Wald test for linear restrictions on cointegrating vectors is compared infinite samples using the Monte Carlo method. The Wald test within the vector error-correction based methods of Bewley et al (1994) and of Johansen (1991), the canonical cointegration method of Park (1992) the dynamic...

The present method allows to detect outlying observations in data which may be described by a deterministic function plus a stochastic component. This type of functional relationship often occurs in experimental data, in toxicological research, for instance. The Hampel identifier, an outlier...

This report extends the technique of testing single variance components with generalized fixed-level tests in situations when nuisance parameters make exact testing impossible to the more general way of testing hypotheses on linear forms of variance components. An extension of the definition of...

Data from the automatic monitoring of intensive care patients exhibits trends, outliers, and level changes as well as periods of relative constancy. All this is overlaid with a high level of noise and there are dependencies between the different items measured. Current monitoring systems tend to...