14.3 Roadmap

Rearview Mirror: What We’ve Seen

• WLLN: \(\displaystyle\lim_{n \to \infty} \overline{X}_n \overset{p}{=} E[X]\)
• CLT \(\displaystyle\lim_{n \to \infty} \bar{X}_n \overset{d}{=} N(E[X], \text{Var}[X])\)

Today

• Use maximum likelihood to generate a good guess for model parameters;
• Use a confidence interval to indicate a range of plausible parameter values