Parameters: Beta X

Ivan Jacob Agaloos Pesigan

2020-10-16

\[\begin{equation} X \sim Beta \left( \alpha = 1.5, \beta = 1.5 \right) \end{equation}\]

Moments	Formula	Value
Mean	\(\frac{\alpha}{\alpha + \beta}\)	0.5000
Variance	\(\frac{\alpha \beta}{\left( \alpha + \beta \right)^2 \left( \alpha + \beta + 1 \right)}\)	0.0625
Skewness	\(\frac{2 \left( \beta - \alpha \right) \sqrt{\alpha + \beta + 1}}{\left( \alpha + \beta + 2 \right) \sqrt{\alpha \beta}}\)	0.0000
Excess Kurtosis	\(\frac{6 \left[ \left( \alpha - \beta \right)^2 \left( \alpha + \beta + 1 \right) - \alpha \beta \left( \alpha + \beta + 2 \right) \right]}{\alpha \beta \left( \alpha + \beta + 2 \right) \left( \alpha + \beta + 3 \right)}\)	-1.0000

See https://en.wikipedia.org/wiki/Beta_distribution.

data(
  paramsbeta,
  package = "jeksterslabRmedsimple"
)
DT::datatable(
  paramsbeta
)

For more details see jeksterslabRmedsimple::paramsbeta.