Question

14. Consider the following estimator for the population variance: $\hat{\sigma}^2 = \frac{1}{n-2} \sum_{i=1}^{n} (X_i - \bar{X})^2$. What is its bias (in terms of the true variance $\sigma^2$)? Answer:

          14. Consider the following estimator for the population variance:
\(\hat{\sigma}^2 = \frac{1}{n-2} \sum_{i=1}^{n} (X_i - \bar{X})^2\).
What is its bias (in terms of the true variance $\sigma^2$)?
Answer:

14. Consider the following estimator for the population variance:
σ̂^2 = (1)/(n-2)∑i=1^n (Xi - X̅)^2.
What is its bias (in terms of the true variance σ^2)?
Answer:

Added by Margaret R.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Madhur L

08/02/2023

Step 1

In this case, we want to find the bias of $\hat{\sigma}^2$ as an estimator of $\sigma^2$. Show more…

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14. Consider the following estimator for the population variance: $$ \hat{\sigma}^2 = \frac{1}{n-2} \sum_{i=1}^n (X_i - \bar{X})^2. $$ What is its bias (in terms of the true variance $\sigma^2$)? Answer: