"Dear friend, theory is all gray, and the golden tree of life is green."
|--– Johann Wolfgang von Goethe, Faust|
For a lot of people, classical statistical inference is hard to understand, because it is packed with mathematics. Moreover, it is often very difficult and complex to demonstrate the properties of even relatively simple estimators in an analytical manner. Often it is even impossible to express the properties of estimators using mathematical formulas.
In the case of estimating confidence intervals or by carrying out a statistical test, distribution requirements must be assumed when applying classical statistics, basically the distribution of a test statistic. The mathematical formulation for estimating a classical ...