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Q174Section III (Statistics)174 of 190

Variance of the mean of ten equicorrelated unit-variance variables

Let {Xi,i=1,2,…,10}\{X_i,i=1,2,\dots,10\} be a time series with mean zero, variance one and equicorrelation 1/21/2. Let Xˉ10=110∑i=110Xi\bar X_{10}=\tfrac1{10}\sum_{i=1}^{10}X_i, then variance of Xˉ10\bar X_{10} is:

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