Statistical Estimation and Prediction
Statistical Estimation and Prediction Table of Contents Part I — The pre-statistical situation: what must exist before statistics is possible 1. Why statistical reasoning begins with multiple possible states of the world 1.1 How uncertainty requires more than one possible state 1.2 How a realized state differs from the alternatives that could have occurred 1.3 Why the set of imagined possibilities can itself be incomplete 1.4 How impossible, possible, plausible, and observed states differ 1.5 Why probability cannot be introduced before possibilities have been distinguished 1.6 What happens when the assumed possibility space excludes the actual state 2. How one realized world becomes only partially accessible to an observer 2.1 The difference between what exists and what becomes observable 2.2 How observation exposes some properties while hiding others 2.3 Why every observation system performs selection and transformation 2.4 How measurement resolution determines which distinction...