Statistikk og Simulering

Økt 13. Estimation of the Mean

The sample mean

14.2. The sample mean

Let X1,X2,,Xn be independent stochastic variables, the we have TODO

Tabell 1: Two important formulæ, repeated from Session 2.

The sample mean X̄ is a stochastic variable. Considering a single observation of X, the expected value is E(X) = μ and the variance is var(X) = σ2.

Øving 14.2 Write down the formulæ for X̄ in terms of a n observations X1,X2,,Xn.

Øving 14.3 Give formulæ for E(X̄) and var(X̄).