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To ensure the reliability of the observation process, our observer and a second observer, who has extensive experience in conducting observational studies, independently observed and recorded the same activities of four PCWs for a period of four hours.
Each teacher received a letter providing a written summary of the outcome of the observation process assimilating both the observer's comments and the students' comments together with potential solutions to any concerns raised.
The process solution to (15) is observed regularly at times t0=0,…,through theobservationservation process (Y k )0≤k≤100: Y_{k} = X_{k} + varepsilon_{k};, where the (ε k )0≤k≤100 are i.i.d.i.d
The process solution to (17) is observed regularly at times t0=0,…,through theobservationservation process (Y k )0≤k≤50 defined as Y_{k} = X_{k} + varepsilon_{k};, where the (ε k )0≤k≤50 are i.i.d. ( mathcal {N}left (0,sigma ^{2}_{obs}right)).
Adopting Elliott et al. [1], the observation process (y_k) follows the state process ({r_k}) observed in some Gaussian noise with a scaling coefficient (alpha ).
Recently, it has been proved that the treatment of the linear MS estimation problem through widely linear (WL) processing, which takes into account both the observation process and its conjugate, leads to estimators with better performance than the SL ones in the sense that they show lower error variance.
This problem aims at designing the linear state observers such that, for all admissible parameter uncertainties, the observation process remains robustly stable and the transfer function from exogenous disturbances to error state outputs meets the prespecified H∞ norm upper bound constraint, independently of the time delay.
However, research unequivocally indicates that 'classroom observation methodologies…can provide a different perspective on the observation process and thus play a part in developing observers as reflective practitioners of teaching and learning' [ 1].
We model the observation process by assuming that a mutation i is falsely observed with probability ϵ as in Equation (2).
It's automating the observation process.
The observation process stochastically related to the machine condition is assumed to be multivariate, normally distributed.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com