# Category:Expectation

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This category contains results about **expectations of random variables**.

Definitions specific to this category can be found in Definitions/Expectation.

### Definition 1

The **expectation** of a random variable is the arithmetic mean of its values.

### Definition 2

The **expectation** of a random variable $X$ is the first moment about the origin of $X$.

## Subcategories

This category has the following 19 subcategories, out of 19 total.

## Pages in category "Expectation"

The following 51 pages are in this category, out of 51 total.

### C

### E

- Equivalence of Definitions of Expectation
- Expectation is Linear
- Expectation is Monotone
- Expectation of Almost Surely Constant Random Variable
- Expectation of Bernoulli Distribution
- Expectation of Beta Distribution
- Expectation of Binomial Distribution
- Expectation of Bounded Random Variable
- Expectation of Chi Distribution
- Expectation of Chi-Squared Distribution
- Expectation of Continuous Uniform Distribution
- Expectation of Discrete Random Variable from PGF
- Expectation of Discrete Uniform Distribution
- Expectation of Erlang Distribution
- Expectation of Exponential Distribution
- Expectation of F-Distribution
- Expectation of Function of Continuous Random Variable
- Expectation of Function of Discrete Random Variable
- Expectation of Function of Joint Probability Mass Distribution
- Expectation of Gamma Distribution
- Expectation of Gaussian Distribution
- Expectation of Geometric Distribution
- Expectation of Hat-Check Distribution
- Expectation of Linear Transformation of Random Variable
- Expectation of Log Normal Distribution
- Expectation of Logistic Distribution
- Expectation of Negative Binomial Distribution
- Expectation of Negative Binomial Distribution/First Form
- Expectation of Negative Binomial Distribution/Second Form
- Expectation of Non-Negative Random Variable is Non-Negative
- Expectation of Pareto Distribution
- Expectation of Poisson Distribution
- Expectation of Product of Independent Random Variables is Product of Expectations
- Expectation of Random Variable as Integral with respect to Probability Distribution
- Expectation of Real-Valued Discrete Random Variable
- Expectation of Real-Valued Measurable Function composed with Absolutely Continuous Random Variable
- Expectation of Shifted Geometric Distribution
- Expectation of Square of Discrete Random Variable
- Expectation of Student's t-Distribution
- Expectation of Weibull Distribution
- Expectation Preserves Inequality