七大主题

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Quantitative Methods

• 1.货币的时间价值 The time value of Money
  • 1.Interest Rates
  • 2.Future Value of a Single Cash Flow
  • 3.Non-Annual Compounding (Future Value)
  • 4.Continuous Compounding
  • 5.A Series of Cash Flows
  • 6.Present Value of a Single Cash Flow
  • 7.Non-Annual Compounding (Present Value)
  • 8.Present Value of a Series of Equal and Unequal Cash Flows
  • 9.Present Value of a Perpetuity
  • 10.Solving for Interest Rates, Growth Rates, and Number of Periods
  • 11.Solving for Size of Annuity Payments
  • 12.Present and Future Value Equivalence and the Additivity Principle
• 2.数据的组织，可视化和描述 Organizing, Visualizing, and Describing Data
  • 1.Data Types
  • 2.Organizing Data for Quantitative Analysis
  • 3.Summarizing Data Using Frequency Distributions
  • 4.Summarizing Data Using a Contingency Table
  • 5.Data Visualization
  • 6.Measures of Central Tendency
  • 7.Quantiles
  • 8.Measures of Dispersion
  • 9.Downside Deviation and Coefficient of Variation
  • 10.The Shape of the Distributions
  • 11.Correlation between Two Variables
• 3.概率概念 Probability Concepts
  • 1.Probability Concepts and Odds Ratios
  • 2.Conditional and Joint Probability
  • 3.Expected Value and Variance
  • 4.Portfolio Expected Return and Variance of Return
  • 5.Covariance Given a Joint Probability Function
  • 6.Bayes' Formula
  • 7.Principles of Counting
• 4.概率分布 Common Probability Distributions
  • 1.Discrete Random Variables
  • 2.Discrete and Continuous Uniform Distribution
  • 3.Binomial Distribution
  • 4.Normal Distribution
  • 5.Applications of the Normal Distribution
  • 6.Lognormal Distribution and Continuous Compounding
  • 7.Student’s t-, Chi-Square, and F-Distributions
  • 8.Monte Carlo Simulation
• 7.线性回归介绍 Introduction to Linear Regression
  • 1.Simple Linear Regression
  • 2.Estimating the Parameters of a Simple Linear Regression
  • 3.Assumptions of the Simple Linear Regression Model
  • 4.Analysis of Variance
  • 5.Hypothesis Testing of Linear Regression Coefficients
  • 6.Prediction Using Simple Linear Regression and Prediction Intervals
  • 7.Functional Forms for Simple Linear Regression
• 6.假设检验 Hypothesis Testing
  • 1.The Process of Hypothesis Testing
  • 2.Identify the Appropriate Test Statistic
  • 3.Specify the Level of Significance
  • 4.State the Decision Rule
  • 5.Make a Decision
  • 6.The Role of p-Values
  • 7.Multiple Tests and Significance Interpretation
  • 8.Tests Concerning a Single Mean
  • 9.Test Concerning Differences between Means with Independent Samples
  • 10.Test Concerning Differences between Means with Dependent Samples
  • 11.Testing Concerning Tests of Variances
  • 12.Parametric vs. Nonparametric Tests
  • 13.Tests Concerning Correlation
  • 14.Test of Independence Using Contingency Table Data
• 5.抽样和估计 Sampling and estimation
  • 1.Sampling Methods
  • 2.The Central Limit Theorem and Distribution of the Sample Mean
  • 3.Point Estimates of the Population Mean
  • 4.Confidence Intervals for the Population Mean and Sample Size Selection
  • 4.Resampling
  • 5.Sampling Related Biases