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We are interested in modelling the time series process yt="σ xt)εt, where εt="φ0εt-1+vt.
In this paper we propose tests for the null hypothesis that a time series process displays a constant level against the alternative that it displays (possibly) multiple changes in level.
Further investigations must show the extent to which this can be ensured later in the series process.
Then, for a stationary bivariate time series process (left{ {left( {X_{t},Y_{t} } right)} right}, t in {mathbb{Z}},text), we can represent formally that (left{ {X_{t } } right}) does not Granger causes (left{ {Y_{t} } right}) as left.
Given that acquisition performance is influenced by a set of other factors, we control for contextual and transactional factors as well as for the bidder and the acquisition series process.
Chi and Reinsel [27] considered linear models for longitudinal data that contain both individual random effects components and with-individual errors that follow an (autoregressive) AR(1) time series process and gave some estimation procedures, but they did not investigate asymptotic properties of estimations.
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Within an extensive experiment series process-forces (i), abrasive tool-wear (ii), workpiece damages (iii) and delamination (iv) are evaluated depending on different tool geometries and fiber-orientations.
This Italian sword-and-sandals series processed more beefcake than a drive-thru McDonald 'sin the 1960s, even if it rarely moulded its slabs of man-flesh into credible actors.
A key concept underlying time series processes is that of stationarity.
However, sections in the series processed for BDA or HRP were also often analyzed for epifluorescence because the fluorescent labeling in these sections was similar to that in sections not processed for these tracers.
In the case of pure steam, the condensation mode was film-wise during the time-series process.
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