MathLiveChi-squared distribution probability density function
Gives the probability density of a chi-squared random variable with ν degrees of freedom at a non-negative point x. It is used in statistics for hypothesis tests and confidence intervals involving sums of squared standard normal variables.
f(x) = \frac{x^{\frac{\nu}{2} - 1} e^{-x/2}}{2^{\nu/2} \Gamma\left(\frac{\nu}{2}\right)}What the symbols mean
| probability density at x | |
| value of the random variable, x ≥ 0 | |
| degrees of freedom (positive) | |
| gamma function |
About this formula
- FieldStatistics
- TopicProbability distributions
- LevelUniversity
- Also calledchi-square distribution pdf, chi-squared density function, chi-square probability density, chi-squared distribution formula, chi-square pdf, density of chi-squared distribution
- SourceWikidata Q243462
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