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Also, the comparison principle for mean-field BDSDEs is discussed when the coefficients satisfy some stricter assumptions.
For the purpose of the present paper it is important to incorporate stricter assumptions on measurability, sampling rates, and error bars.
Random effects models require stricter assumptions that are not often met, but as a sensitivity test we also obtained estimates of the year coefficients based on random effects models.
Fourthly, under stricter assumptions, bounds on the (causal) effects of interventions can be estimated from observational data using graphical models.
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The final condition aids our analysis by ensuring the corresponding integral operator is compact, but is also a physically justified assumption since one could argue for the stricter assumption (int _{-1}^{1} int _{-1}^{1} |H_{ij} tau,t)|^{2},dtau,dt leq 1), since no more energy can be scattered than is transmitted.
This was expected because MST-p relies on a stricter assumption than the others (Bühlmann et al. 2014).
However, as we know the classical B-S model was established under some strict assumptions.
Theye is a multiplicity oftenthods for finding the thick-cuts.
Note that the mean square convergence results stated in [12] relies on some strict assumptions.
For the next step, less strict assumptions than Theorem 3.1 to obtain the results of Theorem 3.1 are worth considering.
While this conservative estimate is based on strict assumptions, even multiplying by ten would not generate material savings.
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