Future values of the time series are assumed to be related to past values as well as to past errors.
There were substantial differences in the number of wells with significant groundwater-level trends over time, depending on whether the historical time series are assumed to be independent, have short-term persistence, or have long-term persistence.
Vibration and buckling problems are solved by the Ritz method, where the initial stresses obtained previously are introduced into the proper potential energy functional, and transverse displacements in the form of a double sine series are assumed.
A series was assumed to be monoisotopic if the most frequent rank over all peaks in a series equaled 1.
The spectral characteristics of the locally stationary time series are assumed to change continuously but slowly over time, implying the existence of an interval centered at each time instant in which the time series are approximately stationary.
The age of each series was assumed as the mean of the chronological range presented in Table 3. Howells' series were assumed to be one thousand years old.
Linear interpolation often spanned multiple missing values, and occasionally was also necessary at the end of the time series, where data wrap-around to the start of the time series was assumed.
It is analysed in this study that the EEG time series are assumed to be stationary over a small length of the segments.
