Measures on Gamma distribution
This tool calculates mean, median, mode, standard deviation, variance, skewness, kurtosis, quartiles for a Gamma distribution
Formulas
Notations
X : a random variable with a gamma distribution
`alpha` : shape parameter (> 0)
`beta` : scale parameter (> 0)
• Mean = `alpha*beta`
• Mode = None if `alpha < 1`
• Mode = `(alpha-1)*beta` if `alpha >= 1`
• Mode = `(alpha-1)*beta` if `alpha >= 1`
• Standard deviation = `beta*sqrt(alpha)`
• Variance = `beta^2*alpha`
• Skewness = `2/sqrt(alpha)`
• Kurtosis = `6/alpha`
Gamma distributiond with parameters k and `theta`
Formulas and calculator still apply with,
`alpha = k`
`beta = 1/theta`
`beta = 1/theta`
See also
Normal distribution Probabilities
Statistics Calculators