asymptotic theory based on large aggregation intervals we derive conditions for a correspondence between both concepts. These … examining the consequences of temporal aggregation in (possibly) Granger causal systems of variables. Our approach is to compare … results allow us to differentiate between spurious contemporaneous correlation arising because of aggregation, and true …

aggregated observations (see Working (1960)). This paper investigates the effect of aggregation on the relation between variables … (cointegration). It will be shown that aggregation does not distort the cointegration relation while some other features of the data … cointegration analysis seems to be robust against various aggregation strategies. -- cointegration ; aggregation ; time series …

Theory in time series analysis is often developed in the context of finite-dimensional models for the data generating …

filtering theory ; enlargement of filtration ; canonical decomposition ; Sturm-Liouville equation ; Volterra kernels …