Chapter 6 Sampling Distributions: How Good are the Numbers?
Caution: in a highly developmental stage! See Section 1.1.
- What is an estimator?
- Sampling distributions
- Reducible error
6.1 Estimation of Probabilistic Quantities
What makes a formula an estimator? It should go to the actual value as the sample size increases.
It’s important to note that there are many ways to estimate a probabilistic quantity. Some of these will be better than others, often depending on the situation. Typically, the bias-variance tradeoff is at play here, where some estimators sacrifice bias to reduce variance, or vice versa.
CI vs. PI