Category:Variance
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This category contains results about variances of random variables.
Definitions specific to this category can be found in Definitions/Variance.
Let $X$ be a discrete random variable.
Then the variance of $X$, written $\var X$, is a measure of how much the values of $X$ varies from the expectation $\expect X$, and is defined as:
- $\var X := \expect {\paren {X - \expect X}^2}$
That is: it is the expectation of the squares of the deviations from the expectation.
Subcategories
This category has the following 17 subcategories, out of 17 total.
Pages in category "Variance"
The following 45 pages are in this category, out of 45 total.
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- Variance as Expectation of Square minus Square of Expectation
- Variance is Least Mean Square Deviation about Point
- Variance of Bernoulli Distribution
- Variance of Beta Distribution
- Variance of Binomial Distribution
- Variance of Chi Distribution
- Variance of Chi-Squared Distribution
- Variance of Continuous Uniform Distribution
- Variance of Discrete Random Variable from PGF
- Variance of Discrete Uniform Distribution
- Variance of Erlang Distribution
- Variance of Exponential Distribution
- Variance of Gamma Distribution
- Variance of Geometric Distribution
- Variance of Geometric Distribution/Formulation 1
- Variance of Geometric Distribution/Formulation 2
- Variance of Hat-Check Distribution
- Variance of Linear Combination of Random Variables
- Variance of Linear Combination of Random Variables/Corollary
- Variance of Linear Transformation of Random Variable
- Variance of Log Normal Distribution
- Variance of Logistic Distribution
- Variance of Negative Binomial Distribution
- Variance of Negative Binomial Distribution/Type 1
- Variance of Negative Binomial Distribution/Type 2
- Variance of Normal Distribution
- Variance of Pareto Distribution
- Variance of Poisson Distribution
- Variance of Sample Distribution Function
- Variance of Sample Mean
- Variance of Shifted Geometric Distribution
- Variance of Snedecor's F-Distribution
- Variance of Student's t-Distribution
- Variance of Student's t-Distribution/Proof 1
- Variance of Student's t-Distribution/Proof 2
- Variance of Weibull Distribution