3.5 Theoretical Distributions

• Inference: We have reality, but we want the truth from that

Theoretical Distributions
Useful Terminology
frameworks	element	aggregation	truth	modification
example	x	\bar{x}	\mu	\hat{\mu}
frequentist	observation	samp stat	pop stat	samp dist
causal	observation	estimate	estimand	estimator
Source: The Effect and Everyday Causal Inference

• Theoretical distribution generated data.
  • Don’t care about mean in our data, but about the mean of the true distribution for everyone
  • And the bigger our number of observations gets, the gooder-enougher we become.