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with ν(E i,Δ t j ) a bias term and with σ2(E i,Δ t j ) an irradiance and exposure time dependent variance (also see Figure 4).
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Closed form expressions for the time-dependent variance and covariance of response of structures are presented.
The numerically computed time-dependent variance curves of the displacement and internal force responses at different stations of a substructural chain are given as an example.
Application of the method is made for the determination of the time-dependent variance of the response of a quarter-scale physical model of a class of mast antenna structures.
The hypothesis underlying the use of PCA was that such main drivers might act "behind the scenes", and be discerned as those mediators exhibiting the greatest, insult-specific, time-dependent variance.
For this reason and regardless the realm of the problem very similar models have been applied with particular notoriety to discrete stochastic processes of time-dependent variance based on autoregressive conditional heteroscedastic models [8].
We report results for this model allowing for time-dependent variance below.
We analyzed the data in three ways: 1) To compare mean DAS28 and HAQ scores over time in parous and nulliparous women we used mixed models with a first-order heterogeneous autoregressive correlation structure to allow for time-dependent variance and declining correlation between time points further away from each other.
Time-dependent variation in resighting rates was better explained by local rainfall (45.1% variance explained) than by the NAO (33.5% variance explained, Figure 1a).
The left column depicts the prior distributions (specifically the 2.5%, 50 % and 97.5 quantiles for each time point) for two typical cases: a constant prior function (= constant population size with constant variance), and the "skyline plot" prior function (= time dependent piecewise- constant population size and variance).
(C, F ) Analysis of the variance at the −90 mV tail pulse reveals a time dependent decrease.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com