ipsrdbs1. Introduction to Basic Statistics2. Getting Started with R3. Introduction to Probability4. Conditional Probability and Independence5. Random Variables and Their Probability Distributions6. Standard Discrete Distributions7. Standard Continuous Distributions8. Joint Distributions and the CLT9. Introduction to Statistical Inference10. Methods of Point Estimation11. Interval Estimation12. Hypothesis Testing13. Generating Functions14. Transformation and Transformed Distributions15. Multivariate Distributions16. Convergence of Estimators17. Simple Linear Regression Model18. Multiple Linear Regression Model19. Analysis of VarianceResources
ipsrdbs1. Introduction to Basic Statistics2. Getting Started with R3. Introduction to Probability4. Conditional Probability and Independence5. Random Variables and Their Probability Distributions6. Standard Discrete Distributions7. Standard Continuous Distributions8. Joint Distributions and the CLT9. Introduction to Statistical Inference10. Methods of Point Estimation11. Interval Estimation12. Hypothesis Testing13. Generating Functions14. Transformation and Transformed Distributions15. Multivariate Distributions16. Convergence of Estimators17. Simple Linear Regression Model18. Multiple Linear Regression Model19. Analysis of VarianceResources
15. Multivariate Distributions
Chapter 15 discusses bivariate and multivariate probability distributions. In particular, it discusses the marginal and conditional distributions associated with bivariate and multivariate normal distributions. It also discusses the joint moment generating function for the multivariate normal distribution. In the discrete case it introduces the multinomial distribution as a generalisation of the binomial distribution.
