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A physical quantity
is measured using the estimator S, which is a function of the elements
of a sample,
. The difference between the expectation value of the estimator, E(S), and the true value
of the physical quantity is the bias of the estimator:
. The estimator is unbiased if
.
For the relation between bias and variance of an estimator, see [Bishop95].
Rudolf K. Bock, 7 April 1998