HONG Yongmiao
From the perspective of economics, we introduce the economic interpretations and applications of some basic concepts, ideas, methods and tools in probability and statistics. Examples include subjective probability, cumulative distribution function, stochastic dominance, quartile, expectation, Jensen's inequality, mean and variance, law of large numbers, variance of sample mean converging to zero, independence, martingale difference sequence, statistical significance, goodness of fit and model specification, spectral analysis of time series, machine learning and random sets. Economics applications consist of rational expectations, depicting income inequality, portfolio, efficient market hypothesis, capital asset pricing model, financial derivatives pricing, risk management, model risk, measuring economic causal relationships, identifying economic cycles, and macroeconomic interval management. These examples and applications are helpful in understanding the importance and usage of probability and statistics in economic research and analysis.