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Let a random variable be a vector of the range estimates errors of each measurement,, then the maximum likelihood estimation of the variance of the range estimates is.
In particular, it can make estimation of the variance of the estimated treatment effect more difficult.
Williamson, N.J. (1982) "Cluster sampling estimation of the variance of abundance estimates derived from quantitative echo sounder surveys" in Canadian J. of Fisheries and Aquatic Sciences.
It follows that r must be chosen by the practitioner as a trade-off between an accurate estimation of the target parameter and an accurate estimation of the variance of the parameter estimator.
However, s is a nuisance parameter in the computation of m e, and in this context, the efficient issue is not as crucial as in the estimation of the variance of the data, estimates of the latter being used in robustifying the EPE criterion (27) and setting the VFF.
On the other hand, the robust estimation of the variance of the treatment effect estimator is very reliable, and should be recommended instead of the naive variance estimation, especially for the WLW method.
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Methods of estimation of the variances of the regression coefficients are also presented.
A tool for this customization is bootstrapping, which enables the estimation of the variances of predictions for inputs not yet simulated.
The estimation of the variances of the log-SMRs is somewhat technical, but an outline of the calculations to obtain the approximate variance of the log-SMR for ICU i in year t is given in Additional file 1.
SMVar improves the estimation of the variance for small number of replicates like in this study.
Figure 1 Pixel-wise S-estimation of the variance for Lena image corrupted with 15% of mixed impulse noise.
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