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For simplicity, we discuss only the non-time-varying case as the generalization to time-varying case is straightforward.

The seroprevalence values listed under "Observed", "Without cohort effect" (fitted model, constant case) and "With cohort effect" (fitted model, time-varying case) are for the timepoints specified in the first column.

The varying channel case is more complicated than considering only on the specific channel instance as the channel variable x must be marginalized in the optimization process.

The gold standard for making comparisons across groups of patients identified by three varying case definitions would be a study with three completely separate cohorts, not one large sample with two embedded subgroups.

The effect of varying case definitions will be the subject of more detailed investigation.

This association is robust to varying case definitions and adjustment factors.

Sensitivity analyses were conducted with varying case definitions and to evaluate the potential for bias from endoscopy volume and patient factors.Of 292,621 unique patients in the source population, 89,754 had normal esophageal biopsies and 14,381 had esophageal eosinophilia with ≥15 eosinophils per high-power field.

The main difference from the time varying firing rate case is that inputs become active for a much shorter duration.

One challenge in this case is varying labelling properties for different radionuclides.

The autocorrelation function of ({X_{t}}) is defined as [16] rho(h)=operatorname{Corr}(X_{t+h},X_{t}), where h is called lag and in our case is varying in (mathbb{N}).

Both time-invariant input case and time-varying input case are discussed in the note.

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