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Non-bias Condition

To obtain a zero error $Z_V-/hat{Z}_V$ in expectation (i.e., an average over a great number of similar estimations) it is enough to impose the condition $/sum_{i=1}^{n} /lambda_{i}=1$, and, thus,

/begin{displaymath}E(/hat{Z}_{V})= /sum_{i} /lambda_{i}E(Z_{i})=m /sum_{i} /lambda_{i}=E(Z_{V})=m/ / / ,/end{displaymath}

which entails $E(Z_V-/hat{Z}_V) = 0$.


Rudolf Dutter 2003-03-13