The Method of Lagrange Multipliers: A Simple Derivation

Distribution of Rainfall

The Barometric Formula

Distribution of Gross Domestic Products

Background

A Simple Info-Metrics Model

Implications of Small Variations

Statistical Efficiency

Computational Efficiency

Production

Consumption

Supply and Demand

Individual Preferences

Budget Constraints

Background on the Congressional Race and the Survey

Inference, Prediction, and the Effect of Different Messages

Background on Loans, Minorities, and Sample Size

Inference, Marginal Effects, Prediction, and Discrimination

The Complete Sample

Out of Sample Prediction

Sensitivity Analysis and Simulated Scenarios

A Linear Model

Analyzing the Residuals: Extreme Events