Statistical inference is the science of drawing conclusions about unknown parameters from data. This topic covers the foundational criteria for estimators, the two main estimation methods (MOM and MLE), confidence intervals, hypothesis testing, and linear regression. These tools appear directly in quant interviews involving data analysis, model validation, and quantitative research.
1. Estimator Properties
1.1 Bias, Variance, MSE
Let be an estimator of a parameter . The three fundamental quality criteria are: