Manuscript Em03-B@2 · Em03-B-v2.tex · section · c1a0977d
Constructive accuracy and its limitations
End-to-end theorem and constructive tolerances › Constructive accuracy and its limitations · lines 1970–1995
For , a sufficient bias choice is
The conservative band estimate
can be used without a numerical transmission table.
The existence assertion is not arbitrary accuracy on fixed hardware. A maximum capture rate, restricted bandwidth, fixed temperature, fixed storage loss, or irreducible assignment error may prevent the stated parameter choices. A nonzero lower bound on the certificate budget prevents that certificate from proving arbitrary accuracy; it is not, by itself, a lower bound on the actual statistical error, which can exhibit cancellations.
For convergence of the displayed mean certificates as grows, one needs , not merely a small fixed record error.
Displayed formulas in this passage
unlabeled · line 1973
unlabeled · line 1978