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Results tagged with variance
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user 214732
The expected squared deviation of a random variable from its mean; or, the average squared deviation of data about their mean.
1
vote
Variance of sample median
you can also calculate:
\begin{align}
\sigma^2_{\tilde{\mu}_s} \approx \sum_{i=0}^{N-1} {N-1 \choose i} \left(\frac{1}{2}\right)^{1-N} \left(x_i - \tilde{\mu}_s\right)^2
\end{align}
Analogously to the variance …
- 151
0
votes
The variance of the weighted median and optimal weights
The variance introduced to the nominator by each weight is therefore $^1/_4$ the weights squared and the variance of $c$ is approximadted by the sum of individual variances divided by the normalization … Therefore the the inverse weighted cumulative distribution of $c$ is the same variance as the weighted median. …
- 151
4
votes
2
answers
563
views
The variance of the weighted median and optimal weights
weighted sample mean ${_w\mu}$ is the estimate for the population mean with the lowest variance $\sigma^2_{_w\mu}$. … This also makes a nice connection to inverse variance weights that are optimal for the weighted average, because in the weighted median, asymptotically each sample contributes a variance inversely proportional …
- 151