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These estimators were studied in Kutoyants (1994) in the case of fixed τ ε =τ and are called the trajectory fitting estimators as well, because we choose an estimator ( {bar {vartheta }}_{tau _{varepsilon } } ), which provides a trajectory ({hat {X}}_{t}left ({bar {vartheta }}_{tau _{varepsilon } }right),0leq tleq tau _{varepsilon } ) closest to the observations X t,0≤t≤τ ε.
Here, v mot is the target motion trajectory fitting function.
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(3) With increasing curve radius, the LDRT fluctuation weakens and the trajectory fits better with the horizontal alignments of the road.
The more a follow-up trajectory fits in daily practice, the better a screening strategy can be implemented.
Future research should try to explain which factors underline the (unexpected) Spanish post-industrial employment growth and how its trajectory fits in the welfare and production regime framework of comparative analysis (Esping-Andersen, 1993; Soskice, 1999).
It can be observed from Fig. 8a f that the least fluctuations of the LDRTs correspond to the curves with the largest radii, indicating that the variation of the lateral relative location of the trajectories decreased with increasing radius; i.e., the trajectories fitted better with the highway alignments.
A model was developed to include the effect of the change in droplet shape from cylinder to sphere during flight but this did not improve trajectory fit.
By doing so we address two pending questions: does a potential technological trajectory "fit" into the normative paradigms of the focal companies; how could the possible technological output look like.
We determined diffusion coefficients for defined parts of trajectories by fitting the first 5 points of the mean square displacement (MSD) versus lag time tlag plots [5].
The final residuals from the observed trajectories after fitting the equation (3) showed a Gaussian distribution as shown in supplementary material Fig. S1F.
Corrections, i.e. the offsets between the initial trajectory and the fitted trajectory, are small and the kink angles are to good approximation linear functions of the these corrections, cf. Eq. (3) in reference [23] and Eq. (4) in [27].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com