Statistikk og Simulering

Økt 13. Estimation of the Mean

Point estimation

14.3. Point estimation

Suppose you want to use the sample mean $\stackrel{̄}{X}$ as an estimator for $E\left(X\right)$.

Øving 14.4 What do we mean by an unbiased estimator? Is $\stackrel{̄}{X}$ an unbiased estimator?

Øving 14.5 Give an expression for the standard error of $\stackrel{̄}{X}$. (Remember to use the results from the previous section.)

Øving 14.6 Discuss

How can you estimate the standard error when you estimate $E\left(X\right)$ from a sample of size $n$?