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In most statistical sampling processes, a single best estimator is sought.
Of these "H" is probably the best estimator for samples of 25 or more.
But, then again, patent filings aren't the best estimator of release dates, so we'll probably have to wait until we hear more rumors in the fall.
However, for some probability distributions, there is no guarantee that the least-squares solution is even possible given the observations; still, in such cases it is the best estimator that is both linear and unbiased.
In principle, the redundancy in the probes offers a way to reduce the noise level for each gene; on the other hand, finding the best estimator is difficult and it is likely that the variability in probe behavior will prevent a single estimator from being optimal in all cases.