Numerical Characteristics of Random Variables
Once you know which values a random variable can take, the genuinely usable information is a handful of numbers: where it averages, how much it fluctuates, and how it moves together with other variables. This chapter starts with random variables and their distributions, then works through mathematical expectation, the expectation of the common distributions, and the applications of expectation, before turning to variance and standard deviation and to covariance and the correlation coefficient. It closes with exercises that mix all three families of numerical characteristics together.
- Random Variables and Distributions
- Basic Concepts of Mathematical Expectation
- Mathematical Expectation of Common Distributions
- Applications of Mathematical Expectation
- Variance and Standard Deviation
- Covariance and the Correlation Coefficient
- Comprehensive Exercises on the Numerical Characteristics of Random Variables
