Group estimation strategies

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Reliability of the joint estimate

We assume that the group computes its joint estimate by averaging the individual estimates:

𝑧 = 1 𝑛 𝑛 \sum 𝑖 = 1 𝑥 𝑖

For a given group size, the standard deviation of the joint estimate is

𝜎 g r o u p = 𝜎 \sqrt 𝑛

and the precision of the joint estimate is

𝑝 g r o u p = 1 𝜎 2 g r o u p

Each estimate is drawn from a Gaussian distribution $𝑁 (𝑠, 𝜎 2 𝑖)$ with a fixed mean.

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