Sentence examples for by a stationary process from inspiring English sources

Without loss of generality, we will assume that the data are generated by a stationary process, and, therefore, (mu =0).

The nonstationarity of input motion is commonly defined by a stationary process multiplied with a deterministic envelope function.

Democracy variable is stable in time, so it is already I 0), which means that the variable was generated by a stationary process.

In fact, the assumption that the data can be modeled by a stationary process with a single Hurst exponent H may be unrealistic.

To test for stationarity of the series, we performed the Phillips Perron (PP) test and the Augmented Dickey Fuller (ADF) test that a variable has a unit root; the alternative hypothesis is that the variable was generated by a stationary process (32, 33).

This method measures stationarity degree by the best L2 approximation of the spectral density of the underlying process by the spectral density of a stationary process.

Since both permanent components of earnings are non-stationary, we are able to approximate this by a stationary, discrete process only because of the finite horizon of the process.

The probabilistic properties are modelled of the plastic displacement process component and the plastic work process of the response of a symmetric linear elasto-plastic oscillator excited by a stationary Gaussian process.

The non-linear feature of our model is reflected by three regimes, one of which is characterized by a unit root process and the random walk hypothesis while the lower and upper regimes are well captured by a stationary autoregressive process with mean reversion and predictability.

The first is the trend-stationary hypothesis, for which the trend is a deterministic function of time and the short run dynamics are represented by a stationary autoregressive process.

The spatiotemporal component was represented by a stationary Gaussian process 35 with covariance defined by a spatially anisotropic version of the space-time covariance function proposed by Stein.