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A time series must be stationary, i.e., one which has a constant mean, variance, and autocorrelation function, in order for an ARIMA model to be applicable.
Finally, a simplified kinetic modeling accounting with this reaction pathway was proposed, which nicely fits the stationary (i vs. E) ABOR plot.
We assume that the input policy is stationary, i.e., it does not change with time.
It is evident from the test results that GDP and HCE are difference stationary i.e. I(1) variable according to all tests.
During the time period shown in Fig. 8, the fingers are held stationary, i.e. (v^{t_1}_{t_1}=v^{t_3}_{t_3}=0) and the object was simply bouncing between two fingers.
Since Eq. (11) is stationary (i.e., depending only on time lag (varphi)), the respective covariance matrix has Toeplitz structure (diagonal constant).
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s i (k) is zero-mean stationary i-th signal; n(k) denotes the noise.
The Cl2 evolution reaction has been investigated on RuO2/TiO2 electrodes of various composition in 1 M HCl and 1 M KCl electrolyte by means of stationary and non stationary i-E curves and by ac impedance.
However, the noise is spatially non-stationary, i.e. the variance of noise becomes x-dependent.
This experimental configuration is inherently non-stationary (i.e. does not reach steady state).
In our work, we let the alpha beta filter classify if the target is stationary or non-stationary, i.e., the alpha beta filter has two classes.
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