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To overcome that, we proposed a variation of it by refining the decomposition process of probability to get smoother estimates.
Simulation studies demonstrate that the TSE is better than these four remedies, in both senses of having smaller sample mean integrated square error and giving smoother estimates.
Empirical studies demonstrate that our suggested estimator is competitive with alternatives, in the sense of yielding both smaller sample mean integrated square error and smoother estimates.
It can be observed that introducing a certain amount of lag yields smoother estimates and at the same time introduces a fixed amount of latency.
But using an adaptive penalty seems to damp the undesired wiggles (see Fig. 2f) and provide smoother estimates even while preserving the jump.
Therefore, there have been several attempts to provide smoother estimates, either by kernel estimates (see, for instance, [30]) or by projection on an orthonormal basis (see, for instance, [7] for the use of splines).
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On the other hand, our proposed method produce a bit smoother estimate.
While using the Akaike Information Criterion [ 98], the generalized skyline plot could reduce this noise, and thus produce smoother estimated population size plots [ 38].
The IC model gives a smoother estimate of the residual variance curve over environments, causing more accurate estimates of the residual variances close to the limits between the environmental classes.
The smoothed estimates can then be computed as follows.
We prove Kato type smoothing estimates for solutions.
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