Estimation

Sample Bias Coefficient

An estimate of expected error in the sample mean of variable $A$, sampled at $N$ locations in a parameter space $x$, can be expressed in terms of sample bias coefficient $\rho$ -- defined as the average auto-correlation coefficient over all sample point pairs. This generalized error in the mean is the square root of the sample variance (treated as a population) times $\frac{1+(N-1)\rho}{(N-1)(1-\rho)}$. The $\rho = 0$ line is the more familiar standard error in the mean for samples that are uncorrelated.

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Estimation

Sample Bias Coefficient

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